2811568084960 has 48 divisors (see below), whose sum is σ = 6716962551600. Its totient is φ = 1111990967296.

The previous prime is 2811568084939. The next prime is 2811568084993. The reversal of 2811568084960 is 694808651182.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2811568084895 and 2811568084904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98706550 + ... + 98735029.

It is an arithmetic number, because the mean of its divisors is an integer number (139936719825).

Almost surely, 2^{2811568084960} is an apocalyptic number.

2811568084960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2811568084960 is an abundant number, since it is smaller than the sum of its proper divisors (3905394466640).

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

2811568084960 is a wasteful number, since it uses less digits than its factorization.

2811568084960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197441683 (or 197441675 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 58.

The spelling of 2811568084960 in words is "two trillion, eight hundred eleven billion, five hundred sixty-eight million, eighty-four thousand, nine hundred sixty".