2161791968 has 48 divisors (see below), whose sum is σ = 4902395904. Its totient is φ = 919175040.

The previous prime is 2161791943. The next prime is 2161792001. The reversal of 2161791968 is 8691971612.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9548 + ... + 66443.

It is an arithmetic number, because the mean of its divisors is an integer number (102133248).

Almost surely, 2^2161791968 is an apocalyptic number.

2161791968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2161791968 is an abundant number, since it is smaller than the sum of its proper divisors (2740603936).

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

2161791968 is a wasteful number, since it uses less digits than its factorization.

2161791968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76135 (or 76127 counting only the distinct ones).

The product of its digits is 326592, while the sum is 50.

The square root of 2161791968 is about 46495.0746638824. The cubic root of 2161791968 is about 1293.0181853978.

The spelling of 2161791968 in words is "two billion, one hundred sixty-one million, seven hundred ninety-one thousand, nine hundred sixty-eight".