2504316392928 has 72 divisors (see below), whose sum is σ = 8139028283568. Its totient is φ = 715518968832.

The previous prime is 2504316392899. The next prime is 2504316392933. The reversal of 2504316392928 is 8292936134052.

2504316392928 is a `hidden beast` number, since 2 + 5 + 0 + 4 + 316 + 39 + 292 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 621108201 + ... + 621112232.

It is an arithmetic number, because the mean of its divisors is an integer number (113042059494).

Almost surely, 2^{2504316392928} is an apocalyptic number.

2504316392928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2504316392928 is an abundant number, since it is smaller than the sum of its proper divisors (5634711890640).

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

2504316392928 is a wasteful number, since it uses less digits than its factorization.

2504316392928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242220456 (or 1242220445 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 2504316392928 in words is "two trillion, five hundred four billion, three hundred sixteen million, three hundred ninety-two thousand, nine hundred twenty-eight".