2789904050664 has 32 divisors (see below), whose sum is σ = 6995831929440. Its totient is φ = 927158443200.

The previous prime is 2789904050663. The next prime is 2789904050723. The reversal of 2789904050664 is 4660504099872.

2789904050664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2789904050664² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2789904050598 and 2789904050607.

It is not an unprimeable number, because it can be changed into a prime (2789904050663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175590247 + ... + 175606134.

It is an arithmetic number, because the mean of its divisors is an integer number (218619747795).

Almost surely, 2^{2789904050664} is an apocalyptic number.

2789904050664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2789904050664 is an abundant number, since it is smaller than the sum of its proper divisors (4205927878776).

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

2789904050664 is a wasteful number, since it uses less digits than its factorization.

2789904050664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351196721 (or 351196717 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 2789904050664 in words is "two trillion, seven hundred eighty-nine billion, nine hundred four million, fifty thousand, six hundred sixty-four".