251938413024 has 96 divisors (see below), whose sum is σ = 665028000000. Its totient is φ = 83511419904.

The previous prime is 251938413017. The next prime is 251938413031. The reversal of 251938413024 is 420314839152.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (251938413017) and next prime (251938413031).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×251938413024² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66843012 + ... + 66846780.

It is an arithmetic number, because the mean of its divisors is an integer number (6927375000).

Almost surely, 2^251938413024 is an apocalyptic number.

251938413024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251938413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332514000000).

251938413024 is an abundant number, since it is smaller than the sum of its proper divisors (413089586976).

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

251938413024 is a wasteful number, since it uses less digits than its factorization.

251938413024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7480 (or 7472 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 251938413024 in words is "two hundred fifty-one billion, nine hundred thirty-eight million, four hundred thirteen thousand, twenty-four".