2164058624 has 80 divisors (see below), whose sum is σ = 5321826048. Its totient is φ = 856092672.

The previous prime is 2164058591. The next prime is 2164058653. The reversal of 2164058624 is 4268504612.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23369 + ... + 69815.

Almost surely, 2^2164058624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164058624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660913024).

2164058624 is an abundant number, since it is smaller than the sum of its proper divisors (3157767424).

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

2164058624 is an equidigital number, since it uses as much as digits as its factorization.

2164058624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46485 (or 46469 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 2164058624 is about 46519.4435048400. The cubic root of 2164058624 is about 1293.4699408142.

The spelling of 2164058624 in words is "two billion, one hundred sixty-four million, fifty-eight thousand, six hundred twenty-four".