2172364656 has 160 divisors (see below), whose sum is σ = 7015027200. Its totient is φ = 562775040.

The previous prime is 2172364627. The next prime is 2172364679. The reversal of 2172364656 is 6564632712.

2172364656 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2620050 + ... + 2620878.

It is an arithmetic number, because the mean of its divisors is an integer number (43843920).

Almost surely, 2^2172364656 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 2172364656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507513600).

2172364656 is an abundant number, since it is smaller than the sum of its proper divisors (4842662544).

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

2172364656 is a wasteful number, since it uses less digits than its factorization.

2172364656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1561 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 2172364656 is about 46608.6328484327. The cubic root of 2172364656 is about 1295.1226820362.

The spelling of 2172364656 in words is "two billion, one hundred seventy-two million, three hundred sixty-four thousand, six hundred fifty-six".