2502401264 has 20 divisors (see below), whose sum is σ = 5289166680. Its totient is φ = 1137455040.

The previous prime is 2502401261. The next prime is 2502401299. The reversal of 2502401264 is 4621042052.

2502401264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2502401261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7108919 + ... + 7109270.

It is an arithmetic number, because the mean of its divisors is an integer number (264458334).

Almost surely, 2^2502401264 is an apocalyptic number.

It is an amenable number.

2502401264 is an abundant number, since it is smaller than the sum of its proper divisors (2786765416).

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

2502401264 is a wasteful number, since it uses less digits than its factorization.

2502401264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14218208 (or 14218202 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2502401264 is about 50024.0068766987. The cubic root of 2502401264 is about 1357.6432048006.

The spelling of 2502401264 in words is "two billion, five hundred two million, four hundred one thousand, two hundred sixty-four".