2159163864 has 256 divisors, whose sum is σ = 7141478400. Its totient is φ = 603262080.

The previous prime is 2159163821. The next prime is 2159163899. The reversal of 2159163864 is 4683619512.

2159163864 is a `hidden beast` number, since 2 + 1 + 5 + 9 + 1 + 638 + 6 + 4 = 666.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2501497 + ... + 2502359.

It is an arithmetic number, because the mean of its divisors is an integer number (27896400).

Almost surely, 2^2159163864 is an apocalyptic number.

2159163864 is a gapful number since it is divisible by the number (24) 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 2159163864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570739200).

2159163864 is an abundant number, since it is smaller than the sum of its proper divisors (4982314536).

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

2159163864 is a wasteful number, since it uses less digits than its factorization.

2159163864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 892 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2159163864 is about 46466.8038926716. The cubic root of 2159163864 is about 1292.4939961585.

The spelling of 2159163864 in words is "two billion, one hundred fifty-nine million, one hundred sixty-three thousand, eight hundred sixty-four".