2856917952 has 504 divisors, whose sum is σ = 10371344256. Its totient is φ = 775982592.

The previous prime is 2856917941. The next prime is 2856917969. The reversal of 2856917952 is 2597196582.

2856917952 is a `hidden beast` number, since 2 + 8 + 569 + 1 + 79 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 71 ways as a sum of consecutive naturals, for example, 17527023 + ... + 17527185.

It is an arithmetic number, because the mean of its divisors is an integer number (20578064).

Almost surely, 2^2856917952 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 2856917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185672128).

2856917952 is an abundant number, since it is smaller than the sum of its proper divisors (7514426304).

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

2856917952 is a wasteful number, since it uses less digits than its factorization.

2856917952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 198 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 2856917952 is about 53450.1445461095. The cubic root of 2856917952 is about 1418.9461783822.

The spelling of 2856917952 in words is "two billion, eight hundred fifty-six million, nine hundred seventeen thousand, nine hundred fifty-two".