2992875110400 has 1728 divisors, whose sum is σ = 12382343479296. Its totient is φ = 622854144000.

The previous prime is 2992875110371. The next prime is 2992875110417. The reversal of 2992875110400 is 40115782992.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2992875110400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49063526370 + ... + 49063526430.

It is an arithmetic number, because the mean of its divisors is an integer number (7165708032).

Almost surely, 2^{2992875110400} is an apocalyptic number.

2992875110400 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 2992875110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191171739648).

2992875110400 is an abundant number, since it is smaller than the sum of its proper divisors (9389468368896).

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

2992875110400 is an equidigital number, since it uses as much as digits as its factorization.

2992875110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 2992875110400 in words is "two trillion, nine hundred ninety-two billion, eight hundred seventy-five million, one hundred ten thousand, four hundred".