2501503890400 has 72 divisors (see below), whose sum is σ = 6108640600104. Its totient is φ = 1000299379200.

The previous prime is 2501503890359. The next prime is 2501503890401. The reversal of 2501503890400 is 40983051052.

It is a self number, because there is not a number n which added to its sum of digits gives 2501503890400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2501503890401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2187910 + ... + 3128890.

It is an arithmetic number, because the mean of its divisors is an integer number (84842230557).

Almost surely, 2^{2501503890400} is an apocalyptic number.

2501503890400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2501503890400 is an abundant number, since it is smaller than the sum of its proper divisors (3607136709704).

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

2501503890400 is a wasteful number, since it uses less digits than its factorization.

2501503890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944324 (or 944311 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 2501503890400 in words is "two trillion, five hundred one billion, five hundred three million, eight hundred ninety thousand, four hundred".