2608560930816 has 255 divisors, whose sum is σ = 7804552309873. Its totient is φ = 868279910400.

The previous prime is 2608560930793. The next prime is 2608560930821. The reversal of 2608560930816 is 6180390658062.

It is a happy number.

The square root of 2608560930816 is 1615104.

It is a perfect power (a square), and thus also a powerful number.

2608560930816 is a `hidden beast` number, since 2 + 60 + 8 + 560 + 9 + 3 + 0 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2249712009216 + 358848921600 = 1499904^2 + 599040^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3721199266 + ... + 3721199966.

Almost surely, 2^{2608560930816} is an apocalyptic number.

2608560930816 is the 1615104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2608560930816

2608560930816 is an abundant number, since it is smaller than the sum of its proper divisors (5195991379057).

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

2608560930816 is an frugal number, since it uses more digits than its factorization.

2608560930816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 2608560930816 in words is "two trillion, six hundred eight billion, five hundred sixty million, nine hundred thirty thousand, eight hundred sixteen".