2172646368 has 96 divisors (see below), whose sum is σ = 6358302720. Its totient is φ = 721768320.

The previous prime is 2172646349. The next prime is 2172646369. The reversal of 2172646368 is 8636462712.

2172646368 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 6 + 4 + 636 + 8 = 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 (2172646369) 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, 261153 + ... + 269343.

It is an arithmetic number, because the mean of its divisors is an integer number (66232320).

Almost surely, 2^2172646368 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 2172646368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179151360).

2172646368 is an abundant number, since it is smaller than the sum of its proper divisors (4185656352).

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

2172646368 is a wasteful number, since it uses less digits than its factorization.

2172646368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8517 (or 8503 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2172646368 is about 46611.6548515497. The cubic root of 2172646368 is about 1295.1786634035.

The spelling of 2172646368 in words is "two billion, one hundred seventy-two million, six hundred forty-six thousand, three hundred sixty-eight".