251642675424 has 384 divisors, whose sum is σ = 806238074880. Its totient is φ = 67170115584.

The previous prime is 251642675411. The next prime is 251642675461. The reversal of 251642675424 is 424576246152.

It is a super-2 number, since 2×251642675424² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226908982 + ... + 226910090.

It is an arithmetic number, because the mean of its divisors is an integer number (2099578320).

Almost surely, 2^251642675424 is an apocalyptic number.

251642675424 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 251642675424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403119037440).

251642675424 is an abundant number, since it is smaller than the sum of its proper divisors (554595399456).

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

251642675424 is a wasteful number, since it uses less digits than its factorization.

251642675424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1474 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 48.

The spelling of 251642675424 in words is "two hundred fifty-one billion, six hundred forty-two million, six hundred seventy-five thousand, four hundred twenty-four".