251642242400 has 36 divisors (see below), whose sum is σ = 614321626212. Its totient is φ = 100656896640.

The previous prime is 251642242307. The next prime is 251642242417. The reversal of 251642242400 is 4242246152.

251642242400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 5 ways as a sum of consecutive naturals, for example, 157275602 + ... + 157277201.

It is an arithmetic number, because the mean of its divisors is an integer number (17064489617).

Almost surely, 2^251642242400 is an apocalyptic number.

251642242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251642242400 is an abundant number, since it is smaller than the sum of its proper divisors (362679383812).

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

251642242400 is a wasteful number, since it uses less digits than its factorization.

251642242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314552823 (or 314552810 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 251642242400 its reverse (4242246152), we get a palindrome (255884488552).

The spelling of 251642242400 in words is "two hundred fifty-one billion, six hundred forty-two million, two hundred forty-two thousand, four hundred".