Suppose we take this problem statement directly at it's word.
\(\text{The sum of the divisors of }n \text{ is }1 + \sqrt{n} + n \text{ i.e.}\\ \text{the divisors are in fact }1,~\sqrt{n},~n\)
\(\text{This implies 2 things}\\ n = p^2 \text{ for some integer }p\\ \text{all of the divisors of }n \text{ are }1, ~p,~p^2\\\)
\(\text{Thus we are looking at the squares of the prime numbers}\)
I'll let you assemble a list of the squares of the primes that are less than 2010.
You might also try to prove that the squares of the primes are the only numbers that satisfy the requirement.