2992356864 has 480 divisors, whose sum is σ = 10853948160. Its totient is φ = 797147136.

The previous prime is 2992356859. The next prime is 2992356893. The reversal of 2992356864 is 4686532992.

It is a happy number.

2992356864 is a `hidden beast` number, since 299 + 235 + 68 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2992356864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27965899 + ... + 27966005.

It is an arithmetic number, because the mean of its divisors is an integer number (22612392).

Almost surely, 2^2992356864 is an apocalyptic number.

2992356864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2992356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426974080).

2992356864 is an abundant number, since it is smaller than the sum of its proper divisors (7861591296).

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

2992356864 is a wasteful number, since it uses less digits than its factorization.

2992356864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 136 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 2992356864 is about 54702.4392874760. The cubic root of 2992356864 is about 1441.0237164974.

The spelling of 2992356864 in words is "two billion, nine hundred ninety-two million, three hundred fifty-six thousand, eight hundred sixty-four".