2640214656 has 128 divisors (see below), whose sum is σ = 7869014400. Its totient is φ = 871409664.

The previous prime is 2640214649. The next prime is 2640214667. The reversal of 2640214656 is 6564120462.

2640214656 is a `hidden beast` number, since 2 + 640 + 2 + 1 + 4 + 6 + 5 + 6 = 666.

2640214656 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2640214656.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352260 + ... + 359676.

It is an arithmetic number, because the mean of its divisors is an integer number (61476675).

Almost surely, 2^2640214656 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 2640214656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934507200).

2640214656 is an abundant number, since it is smaller than the sum of its proper divisors (5228799744).

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

2640214656 is a wasteful number, since it uses less digits than its factorization.

2640214656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7543 (or 7525 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2640214656 is about 51383.0191405682. The cubic root of 2640214656 is about 1382.1221036691.

The spelling of 2640214656 in words is "two billion, six hundred forty million, two hundred fourteen thousand, six hundred fifty-six".