Any refers to one, several or all of a total number. Some and any are not singular or plural words themselves but are used with plural nouns or less commonly with singular nouns.

We use every not any with singular countable nouns when we mean ‘each individual member of a group of something’. If so, use this version. Compare (By the way, "information" is noncountable in English. Some and any can be determiners, pronouns or adverbs. In informal English, you usually use the plural form of the verb "were" as follows: If any of the devices were not switched off, do something.

And that's not how any works. The use of the singular form of the verb "was" after "any of the devices" in the sentence presented is correct grammatically, but it's more formal.
As an adjective, any is most commonly followed by plural or uncountable nouns: Sometimes any is used to modify a singular countable noun: The use of the singular form of the verb "was" after "any of the devices" in the sentence presented is correct grammatically, but it's more formal. If any of the devices was not switched off, do something. And that's not how any works.

Primarily an adjective, it is also used as a pronoun. It's not there, sorry. There is no word "informations".) We use every not any with singular countable nouns when we mean ‘each individual member of a group of something’. It can modify either plural count nouns or singular mass nouns, which means that any singular noun modified by any is automatically interpreted as a mass noun. Remember: Do not use “any” with singular countable nouns. For the first one, you have no choice.

Pronouns containing –body, –thing, and –one (such as everybody, anything, and someone) are singular. Like the indefinite article a/an, the word any derives from a form of the Old English word for one. In "English Grammar" (David Daniels & Barbara Daniels, ISBN 0-06-467109-7), any is listed between the pronouns that can be either plural or singular, among all, more, and some.

(plural noun) For uncountable nouns, use “any” after the negative “isn’t”, and for plural countable nouns use “any” after “aren’t”. That's what happens to idea; it is interpreted as meaning 'thought; mentation'. Pronouns containing –body, –thing, and –one (such as everybody, anything, and someone) are singular. They match up with singular verbs and shouldn’t pair with the plural pronoun their (a plural). Like the indefinite article a/an, the word any derives from a form of the Old English word for one.
The choice between the … (By the way, "information" is noncountable in English. [ANY + countable noun plural] Yes, possible. When used as a pronoun, any can be used with either a singular or a plural verb, depending on the context: "we needed more sugar but there wasn't any left" (singular verb) or "are any of the new videos available?" There is no word "informations".) If so, use this version. [ANY + countable noun singular] Yes, possible. “There isn’t a single biscuit left in the packet.” (Not “There isn’t any single biscuit left in the packet.”) That's what happens to idea; it is interpreted as meaning 'thought; mentation'.