252270180 has 96 divisors (see below), whose sum is σ = 787315200. Its totient is φ = 67060224.

The previous prime is 252270173. The next prime is 252270199. The reversal of 252270180 is 81072252.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249516 + ... + 250524.

It is an arithmetic number, because the mean of its divisors is an integer number (8201200).

Almost surely, 2^252270180 is an apocalyptic number.

252270180 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 252270180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393657600).

252270180 is an abundant number, since it is smaller than the sum of its proper divisors (535045020).

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

252270180 is a wasteful number, since it uses less digits than its factorization.

252270180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 252270180 is about 15883.0154567702. The cubic root of 252270180 is about 631.8616138012.

The spelling of 252270180 in words is "two hundred fifty-two million, two hundred seventy thousand, one hundred eighty".