2312800542720 has 1120 divisors, whose sum is σ = 8677904716800. Its totient is φ = 588597166080.

The previous prime is 2312800542713. The next prime is 2312800542739. The reversal of 2312800542720 is 272450082132.

2312800542720 is a `hidden beast` number, since 2 + 3 + 12 + 80 + 0 + 542 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 11622113181 + ... + 11622113379.

Almost surely, 2^{2312800542720} is an apocalyptic number.

2312800542720 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 2312800542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338952358400).

2312800542720 is an abundant number, since it is smaller than the sum of its proper divisors (6365104174080).

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

2312800542720 is a wasteful number, since it uses less digits than its factorization.

2312800542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 2312800542720 in words is "two trillion, three hundred twelve billion, eight hundred million, five hundred forty-two thousand, seven hundred twenty".