Is -2 an integer?

The term "integers" means "whole numbers".

Integers can be divided into 3 classes :
(1) positive integers, i.e., 1, 2, 3, 4 ......
(2) zero, i.e. 0
(3) negative integers, i.e. -1, -2, -3, -4 ......

-2 is a whole number, and thus it is an integer (a negative integers).

An integer is any whole value, non-fraction, positive or negative. So yes, -2, is an integer...

YES

yes

Indeed it is.

yes

Yes. -2 and 2 are both integers. -2.2 and 2.2 are not integers.