+1005 I'm assuming that you mean that the largest int. n,n^2 divides 2000 into a integer, so n^2 is a factor of 2000.
Factors of 2000:
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000
So 2000 isn't a perfect square, nor 1000,
500, isn't.
400 = 20^2!
n = 20.
If you don't understand anything feel free to ask.
