• 25382 = 6441444 is the smallest square that contains exactly five digits '4'.
2538 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
2538 is strictly pandigital in base 5.
It is a Curzon number.
It is a nialpdrome in base 15.
It is a self number, because there is not a number n which added to its sum of digits gives 2538.
It is a practical number, because each smaller number is the sum of distinct divisors of 2538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2538 is a wasteful number, since it uses less digits than its factorization.
2538 is an odious number, because the sum of its binary digits is odd.
The square root of 2538 is about 50.3785668712. The cubic root of 2538 is about 13.6405078313.
Adding to 2538 its sum of digits (18), we get a triangular number (2556 = T71).
2538 divided by its sum of digits (18) gives a palindrome (141).
The spelling of 2538 in words is "two thousand, five hundred thirty-eight".