2992096800 has 864 divisors, whose sum is σ = 13785992640. Its totient is φ = 619315200.

The previous prime is 2992096799. The next prime is 2992096817. The reversal of 2992096800 is 86902992.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11642272 + ... + 11642528.

It is an arithmetic number, because the mean of its divisors is an integer number (15956010).

Almost surely, 2^2992096800 is an apocalyptic number.

2992096800 is a gapful number since it is divisible by the number (20) 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 2992096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6892996320).

2992096800 is an abundant number, since it is smaller than the sum of its proper divisors (10793895840).

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

2992096800 is a wasteful number, since it uses less digits than its factorization.

2992096800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2992096800 is about 54700.0621571859. The cubic root of 2992096800 is about 1440.9819691094.

The spelling of 2992096800 in words is "two billion, nine hundred ninety-two million, ninety-six thousand, eight hundred".