2992992992 has 96 divisors (see below), whose sum is σ = 6555517920. Its totient is φ = 1333739520.

The previous prime is 2992992983. The next prime is 2992993007.

2992992992 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2992992992² = 17916014100322224128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6912008 + ... + 6912440.

It is an arithmetic number, because the mean of its divisors is an integer number (68286645).

Almost surely, 2^2992992992 is an apocalyptic number.

2992992992 is a gapful number since it is divisible by the number (22) 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 2992992992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277758960).

2992992992 is an abundant number, since it is smaller than the sum of its proper divisors (3562524928).

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

2992992992 is a wasteful number, since it uses less digits than its factorization.

2992992992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 788 counting only the distinct ones).

The product of its digits is 8503056, while the sum is 62.

The square root of 2992992992 is about 54708.2534175603. The cubic root of 2992992992 is about 1441.1258222540.

The spelling of 2992992992 in words is "two billion, nine hundred ninety-two million, nine hundred ninety-two thousand, nine hundred ninety-two".