2164179456 has 60 divisors (see below), whose sum is σ = 6245981742. Its totient is φ = 721391616.

The previous prime is 2164179449. The next prime is 2164179487. The reversal of 2164179456 is 6549714612.

2164179456 is a `hidden beast` number, since 21 + 6 + 4 + 179 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2154445056 + 9734400 = 46416^2 + 3120^2 .

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 5 ways as a sum of consecutive naturals, for example, 230221 + ... + 239436.

Almost surely, 2^2164179456 is an apocalyptic number.

It is an amenable number.

2164179456 is an abundant number, since it is smaller than the sum of its proper divisors (4081802286).

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

2164179456 is an equidigital number, since it uses as much as digits as its factorization.

2164179456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469681 (or 469662 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2164179456 is about 46520.7422124798. The cubic root of 2164179456 is about 1293.4940143535.

The spelling of 2164179456 in words is "two billion, one hundred sixty-four million, one hundred seventy-nine thousand, four hundred fifty-six".