2159568864 has 120 divisors (see below), whose sum is σ = 6413687280. Its totient is φ = 712779264.

The previous prime is 2159568847. The next prime is 2159568889. The reversal of 2159568864 is 4688659512.

2159568864 is a `hidden beast` number, since 2 + 15 + 9 + 568 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2159568864.

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 19 ways as a sum of consecutive naturals, for example, 262932 + ... + 271020.

It is an arithmetic number, because the mean of its divisors is an integer number (53447394).

Almost surely, 2^2159568864 is an apocalyptic number.

2159568864 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 2159568864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206843640).

2159568864 is an abundant number, since it is smaller than the sum of its proper divisors (4254118416).

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

2159568864 is a wasteful number, since it uses less digits than its factorization.

2159568864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8214 (or 8197 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 2159568864 is about 46471.1616381601. The cubic root of 2159568864 is about 1292.5748032635.

The spelling of 2159568864 in words is "two billion, one hundred fifty-nine million, five hundred sixty-eight thousand, eight hundred sixty-four".