2780959588992 has 768 divisors, whose sum is σ = 9624780547200. Its totient is φ = 791580377088.

The previous prime is 2780959588909. The next prime is 2780959588993. The reversal of 2780959588992 is 2998859590872.

It is a happy number.

2780959588992 is a `hidden beast` number, since 27 + 8 + 0 + 9 + 5 + 9 + 588 + 9 + 9 + 2 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (2780959588993) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 405561628 + ... + 405568484.

Almost surely, 2^{2780959588992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2780959588992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812390273600).

2780959588992 is an abundant number, since it is smaller than the sum of its proper divisors (6843820958208).

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

2780959588992 is a wasteful number, since it uses less digits than its factorization.

2780959588992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6975 (or 6951 counting only the distinct ones).

The product of its (nonzero) digits is 2351462400, while the sum is 81.

The spelling of 2780959588992 in words is "two trillion, seven hundred eighty billion, nine hundred fifty-nine million, five hundred eighty-eight thousand, nine hundred ninety-two".