2608480578816 has 720 divisors, whose sum is σ = 9531906531840. Its totient is φ = 692509409280.

The previous prime is 2608480578791. The next prime is 2608480578839. The reversal of 2608480578816 is 6188750848062.

2608480578816 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 48 + 0 + 578 + 8 + 16 = 666.

2608480578816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 194932446 + ... + 194945826.

It is an arithmetic number, because the mean of its divisors is an integer number (13238759072).

Almost surely, 2^{2608480578816} 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 2608480578816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765953265920).

2608480578816 is an abundant number, since it is smaller than the sum of its proper divisors (6923425953024).

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

2608480578816 is a wasteful number, since it uses less digits than its factorization.

2608480578816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13512 (or 13489 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 2608480578816 in words is "two trillion, six hundred eight billion, four hundred eighty million, five hundred seventy-eight thousand, eight hundred sixteen".