2504088972 has 192 divisors, whose sum is σ = 8161198080. Its totient is φ = 645019200.

The previous prime is 2504088949. The next prime is 2504089043. The reversal of 2504088972 is 2798804052.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1054947 + ... + 1057317.

It is an arithmetic number, because the mean of its divisors is an integer number (42506240).

Almost surely, 2^2504088972 is an apocalyptic number.

2504088972 is a gapful number since it is divisible by the number (22) 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 2504088972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080599040).

2504088972 is an abundant number, since it is smaller than the sum of its proper divisors (5657109108).

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

2504088972 is a wasteful number, since it uses less digits than its factorization.

2504088972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2504088972 is about 50040.8730139673. The cubic root of 2504088972 is about 1357.9483504236.

The spelling of 2504088972 in words is "two billion, five hundred four million, eighty-eight thousand, nine hundred seventy-two".