2172890160 has 240 divisors, whose sum is σ = 8779080960. Its totient is φ = 470499840.

The previous prime is 2172890123. The next prime is 2172890171. The reversal of 2172890160 is 610982712.

2172890160 is a `hidden beast` number, since 217 + 289 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84415 + ... + 107105.

It is an arithmetic number, because the mean of its divisors is an integer number (36579504).

Almost surely, 2^2172890160 is an apocalyptic number.

2172890160 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 2172890160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389540480).

2172890160 is an abundant number, since it is smaller than the sum of its proper divisors (6606190800).

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

2172890160 is a wasteful number, since it uses less digits than its factorization.

2172890160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22736 (or 22727 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2172890160 is about 46614.2699181270. The cubic root of 2172890160 is about 1295.2271054620.

The spelling of 2172890160 in words is "two billion, one hundred seventy-two million, eight hundred ninety thousand, one hundred sixty".