252005848224 has 384 divisors, whose sum is σ = 765583902720. Its totient is φ = 71937331200.

The previous prime is 252005848219. The next prime is 252005848249. The reversal of 252005848224 is 422848500252.

It is a happy 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, 304722499 + ... + 304723325.

It is an arithmetic number, because the mean of its divisors is an integer number (1993708080).

Almost surely, 2^252005848224 is an apocalyptic number.

252005848224 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 252005848224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382791951360).

252005848224 is an abundant number, since it is smaller than the sum of its proper divisors (513578054496).

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

252005848224 is a wasteful number, since it uses less digits than its factorization.

252005848224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 42.

The spelling of 252005848224 in words is "two hundred fifty-two billion, five million, eight hundred forty-eight thousand, two hundred twenty-four".