252690014304 has 864 divisors, whose sum is σ = 932719656960. Its totient is φ = 63175956480.

The previous prime is 252690014299. The next prime is 252690014329. The reversal of 252690014304 is 403410096252.

It is a happy number.

252690014304 is a `hidden beast` number, since 2 + 526 + 90 + 0 + 1 + 43 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1989685089 + ... + 1989685215.

It is an arithmetic number, because the mean of its divisors is an integer number (1079536640).

Almost surely, 2^252690014304 is an apocalyptic number.

252690014304 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 252690014304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466359828480).

252690014304 is an abundant number, since it is smaller than the sum of its proper divisors (680029642656).

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

252690014304 is a wasteful number, since it uses less digits than its factorization.

252690014304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 252690014304 in words is "two hundred fifty-two billion, six hundred ninety million, fourteen thousand, three hundred four".