2161577952 has 36 divisors (see below), whose sum is σ = 6146988120. Its totient is φ = 720525888.

The previous prime is 2161577947. The next prime is 2161577953. The reversal of 2161577952 is 2597751612.

2161577952 is a `hidden beast` number, since 21 + 6 + 1 + 577 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 2161577898 and 2161577907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161577953) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3752452 + ... + 3753027.

It is an arithmetic number, because the mean of its divisors is an integer number (170749670).

Almost surely, 2^2161577952 is an apocalyptic number.

It is an amenable number.

2161577952 is an abundant number, since it is smaller than the sum of its proper divisors (3985410168).

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

2161577952 is a wasteful number, since it uses less digits than its factorization.

2161577952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7505495 (or 7505484 counting only the distinct ones).

The product of its digits is 264600, while the sum is 45.

The square root of 2161577952 is about 46492.7731158295. The cubic root of 2161577952 is about 1292.9755146696.

The spelling of 2161577952 in words is "two billion, one hundred sixty-one million, five hundred seventy-seven thousand, nine hundred fifty-two".