2992675104 has 288 divisors, whose sum is σ = 9680186880. Its totient is φ = 871243776.

The previous prime is 2992675093. The next prime is 2992675111. The reversal of 2992675104 is 4015762992.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2992675104² = 17912208556202821632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2992675104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4929969 + ... + 4930575.

It is an arithmetic number, because the mean of its divisors is an integer number (33611760).

Almost surely, 2^2992675104 is an apocalyptic number.

2992675104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2992675104 is the 34599-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2992675104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840093440).

2992675104 is an abundant number, since it is smaller than the sum of its proper divisors (6687511776).

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

2992675104 is a wasteful number, since it uses less digits than its factorization.

2992675104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2992675104 is about 54705.3480383774. The cubic root of 2992675104 is about 1441.0747994343.

The spelling of 2992675104 in words is "two billion, nine hundred ninety-two million, six hundred seventy-five thousand, one hundred four".