2502400992 has 288 divisors, whose sum is σ = 8314113024. Its totient is φ = 653184000.

The previous prime is 2502400991. The next prime is 2502401017. The reversal of 2502400992 is 2990042052.

2502400992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2502400991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9233817 + ... + 9234087.

It is an arithmetic number, because the mean of its divisors is an integer number (28868448).

Almost surely, 2^2502400992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2502400992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157056512).

2502400992 is an abundant number, since it is smaller than the sum of its proper divisors (5811712032).

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

2502400992 is a wasteful number, since it uses less digits than its factorization.

2502400992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2502400992 is about 50024.0041580040. The cubic root of 2502400992 is about 1357.6431556107.

The spelling of 2502400992 in words is "two billion, five hundred two million, four hundred thousand, nine hundred ninety-two".