2042799160800 has 72 divisors (see below), whose sum is σ = 6649311276216. Its totient is φ = 544746442240.

The previous prime is 2042799160799. The next prime is 2042799160841. The reversal of 2042799160800 is 80619972402.

It is a super-2 number, since 2×2042799160800² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 2042799160800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 425580759 + ... + 425585558.

It is an arithmetic number, because the mean of its divisors is an integer number (92351545503).

Almost surely, 2^{2042799160800} is an apocalyptic number.

2042799160800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042799160800 is an abundant number, since it is smaller than the sum of its proper divisors (4606512115416).

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

2042799160800 is a wasteful number, since it uses less digits than its factorization.

2042799160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851166340 (or 851166327 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 2042799160800 in words is "two trillion, forty-two billion, seven hundred ninety-nine million, one hundred sixty thousand, eight hundred".