252099180 has 72 divisors (see below), whose sum is σ = 770357952. Its totient is φ = 66729216.

The previous prime is 252099173. The next prime is 252099247. The reversal of 252099180 is 81990252.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19549 + ... + 29771.

It is an arithmetic number, because the mean of its divisors is an integer number (10699416).

Almost surely, 2^252099180 is an apocalyptic number.

252099180 is a gapful number since it is divisible by the number (20) 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 252099180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385178976).

252099180 is an abundant number, since it is smaller than the sum of its proper divisors (518258772).

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

252099180 is a wasteful number, since it uses less digits than its factorization.

252099180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10375 (or 10370 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 252099180 is about 15877.6314354503. The cubic root of 252099180 is about 631.7188135193.

The spelling of 252099180 in words is "two hundred fifty-two million, ninety-nine thousand, one hundred eighty".