2538902880 has 168 divisors, whose sum is σ = 8993536272. Its totient is φ = 677009664.

The previous prime is 2538902857. The next prime is 2538902887. The reversal of 2538902880 is 882098352.

2538902880 is a `hidden beast` number, since 2 + 538 + 90 + 28 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538902887) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 105757 + ... + 127523.

It is an arithmetic number, because the mean of its divisors is an integer number (53532954).

Almost surely, 2^2538902880 is an apocalyptic number.

2538902880 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 2538902880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496768136).

2538902880 is an abundant number, since it is smaller than the sum of its proper divisors (6454633392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2538902880 is an equidigital number, since it uses as much as digits as its factorization.

2538902880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21800 (or 21777 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2538902880 is about 50387.5270280255. The cubic root of 2538902880 is about 1364.2125152261.

The spelling of 2538902880 in words is "two billion, five hundred thirty-eight million, nine hundred two thousand, eight hundred eighty".