2165177952 has 240 divisors, whose sum is σ = 7435169280. Its totient is φ = 605221632.

The previous prime is 2165177939. The next prime is 2165178013. The reversal of 2165177952 is 2597715612.

2165177952 is a `hidden beast` number, since 2 + 16 + 517 + 79 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2165177898 and 2165177907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 851499 + ... + 854037.

It is an arithmetic number, because the mean of its divisors is an integer number (30979872).

Almost surely, 2^2165177952 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 2165177952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717584640).

2165177952 is an abundant number, since it is smaller than the sum of its proper divisors (5269991328).

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

2165177952 is a wasteful number, since it uses less digits than its factorization.

2165177952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2598 counting only the distinct ones).

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

The square root of 2165177952 is about 46531.4727039667. The cubic root of 2165177952 is about 1293.6929119107.

The spelling of 2165177952 in words is "two billion, one hundred sixty-five million, one hundred seventy-seven thousand, nine hundred fifty-two".