2164195917 has 18 divisors (see below), whose sum is σ = 3385026762. Its totient is φ = 1331811936.

The previous prime is 2164195909. The next prime is 2164195927. The reversal of 2164195917 is 7195914612.

2164195917 is a `hidden beast` number, since 2 + 16 + 41 + 9 + 591 + 7 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 27815076 + 2136380841 = 5274^2 + 46221^2 .

It is not a de Polignac number, because 2164195917 - 2³ = 2164195909 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164195927) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 709918 + ... + 712959.

Almost surely, 2^2164195917 is an apocalyptic number.

It is an amenable number.

2164195917 is a deficient number, since it is larger than the sum of its proper divisors (1220830845).

2164195917 is a wasteful number, since it uses less digits than its factorization.

2164195917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422909 (or 1422893 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 2164195917 is about 46520.9191332244. The cubic root of 2164195917 is about 1293.4972938337.

The spelling of 2164195917 in words is "two billion, one hundred sixty-four million, one hundred ninety-five thousand, nine hundred seventeen".