2814955120992 has 48 divisors (see below), whose sum is σ = 8444865364992. Its totient is φ = 804272891520.

The previous prime is 2814955120987. The next prime is 2814955121087. The reversal of 2814955120992 is 2990215594182.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2094459984 + ... + 2094461327.

It is an arithmetic number, because the mean of its divisors is an integer number (175934695104).

Almost surely, 2^{2814955120992} is an apocalyptic number.

It is an amenable number.

2814955120992 is an abundant number, since it is smaller than the sum of its proper divisors (5629910244000).

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

2814955120992 is a wasteful number, since it uses less digits than its factorization.

2814955120992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188921331 (or 4188921323 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 57.

The spelling of 2814955120992 in words is "two trillion, eight hundred fourteen billion, nine hundred fifty-five million, one hundred twenty thousand, nine hundred ninety-two".