2992353580800 has 540 divisors, whose sum is σ = 11545188196080. Its totient is φ = 763263959040.

The previous prime is 2992353580787. The next prime is 2992353580819. The reversal of 2992353580800 is 80853532992.

2992353580800 is a `hidden beast` number, since 2 + 9 + 9 + 2 + 3 + 53 + 580 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11797716 + ... + 12048684.

Almost surely, 2^{2992353580800} is an apocalyptic number.

2992353580800 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 2992353580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5772594098040).

2992353580800 is an abundant number, since it is smaller than the sum of its proper divisors (8552834615280).

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

2992353580800 is a wasteful number, since it uses less digits than its factorization.

2992353580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251030 (or 251002 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 2992353580800 in words is "two trillion, nine hundred ninety-two billion, three hundred fifty-three million, five hundred eighty thousand, eight hundred".