2654640864 has 144 divisors (see below), whose sum is σ = 8169662592. Its totient is φ = 846350208.

The previous prime is 2654640829. The next prime is 2654640869. The reversal of 2654640864 is 4680464562.

2654640864 is a `hidden beast` number, since 2 + 6 + 546 + 40 + 8 + 64 = 666.

2654640864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2654640869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171427 + ... + 186269.

It is an arithmetic number, because the mean of its divisors is an integer number (56733768).

Almost surely, 2^2654640864 is an apocalyptic number.

2654640864 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 2654640864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084831296).

2654640864 is an abundant number, since it is smaller than the sum of its proper divisors (5515021728).

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

2654640864 is a wasteful number, since it uses less digits than its factorization.

2654640864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14891 (or 14871 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 2654640864 is about 51523.2070430403. The cubic root of 2654640864 is about 1384.6348508032.

The spelling of 2654640864 in words is "two billion, six hundred fifty-four million, six hundred forty thousand, eight hundred sixty-four".