2160122400 has 108 divisors (see below), whose sum is σ = 7617157002. Its totient is φ = 576030720.

The previous prime is 2160122381. The next prime is 2160122477. The reversal of 2160122400 is 42210612.

2160122400 is a `hidden beast` number, since 2 + 1 + 601 + 22 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1349239824 + 810882576 = 36732^2 + 28476^2 .

It is a super-2 number, since 2×2160122400² = 9332257565963520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 142809 + ... + 157208.

Almost surely, 2^2160122400 is an apocalyptic number.

2160122400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2160122400 is an abundant number, since it is smaller than the sum of its proper divisors (5457034602).

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

2160122400 is a wasteful number, since it uses less digits than its factorization.

2160122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300043 (or 300027 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2160122400 is about 46477.1169501724. The cubic root of 2160122400 is about 1292.6852304844.

The spelling of 2160122400 in words is "two billion, one hundred sixty million, one hundred twenty-two thousand, four hundred".