Adding to 2040 its reverse (402), we get a palindrome (2442).
2040 is nontrivially palindromic in base 13 and base 14.
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
2040 is an undulating number in base 13 and base 14.
It is a nialpdrome in base 2 and base 15.
It is a zygodrome in base 2.
It is a congruent number.
It is an unprimeable number.
In principle, a polygon with 2040 sides can be constructed with ruler and compass.
2040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2040 is a wasteful number, since it uses less digits than its factorization.
2040 is an evil number, because the sum of its binary digits is even.
The square root of 2040 is about 45.1663591625. The cubic root of 2040 is about 12.6826514108.