2159136864 has 96 divisors (see below), whose sum is σ = 6307308000. Its totient is φ = 718589952.

The previous prime is 2159136853. The next prime is 2159136869. The reversal of 2159136864 is 4686319512.

2159136864 is a `hidden beast` number, since 21 + 591 + 36 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2159136869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697432 + ... + 700520.

It is an arithmetic number, because the mean of its divisors is an integer number (65701125).

Almost surely, 2^2159136864 is an apocalyptic number.

2159136864 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 2159136864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153654000).

2159136864 is an abundant number, since it is smaller than the sum of its proper divisors (4148171136).

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

2159136864 is a wasteful number, since it uses less digits than its factorization.

2159136864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3917 (or 3903 counting only the distinct ones).

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

The square root of 2159136864 is about 46466.5133617748. The cubic root of 2159136864 is about 1292.4886086589.

The spelling of 2159136864 in words is "two billion, one hundred fifty-nine million, one hundred thirty-six thousand, eight hundred sixty-four".