2172165696 has 84 divisors (see below), whose sum is σ = 6235001500. Its totient is φ = 723022848.

The previous prime is 2172165679. The next prime is 2172165703. The reversal of 2172165696 is 6965612712.

2172165696 is a `hidden beast` number, since 2 + 1 + 72 + 16 + 569 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1428840000 + 743325696 = 37800^2 + 27264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475230 + ... + 479778.

Almost surely, 2^2172165696 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 2172165696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117500750).

2172165696 is an abundant number, since it is smaller than the sum of its proper divisors (4062835804).

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

2172165696 is a wasteful number, since it uses less digits than its factorization.

2172165696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5396 (or 5383 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 2172165696 is about 46606.4984310128. The cubic root of 2172165696 is about 1295.0831421006.

The spelling of 2172165696 in words is "two billion, one hundred seventy-two million, one hundred sixty-five thousand, six hundred ninety-six".