2856164976 has 400 divisors, whose sum is σ = 9925206016. Its totient is φ = 775982592.

The previous prime is 2856164957. The next prime is 2856165029. The reversal of 2856164976 is 6794616582.

2856164976 is a `hidden beast` number, since 2 + 8 + 561 + 6 + 4 + 9 + 76 = 666.

It is a super-3 number, since 3×2856164976³ (a number of 29 digits) contains 333 as substring.

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

Its product of digits (4354560) is a multiple of the sum of its prime divisors (243).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22489425 + ... + 22489551.

Almost surely, 2^2856164976 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 2856164976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962603008).

2856164976 is an abundant number, since it is smaller than the sum of its proper divisors (7069041040).

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

2856164976 is a wasteful number, since it uses less digits than its factorization.

2856164976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 2856164976 is about 53443.1003591670. The cubic root of 2856164976 is about 1418.8215071671.

The spelling of 2856164976 in words is "two billion, eight hundred fifty-six million, one hundred sixty-four thousand, nine hundred seventy-six".