2608007880960 has 504 divisors, whose sum is σ = 9689279344920. Its totient is φ = 671480119296.

The previous prime is 2608007880949. The next prime is 2608007880991. The reversal of 2608007880960 is 690887008062.

It can be written as a sum of positive squares in 4 ways, for example, as 554679373824 + 2053328507136 = 744768^2 + 1432944^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2608007880897 and 2608007880906.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27012292 + ... + 27108668.

It is an arithmetic number, because the mean of its divisors is an integer number (19224760605).

Almost surely, 2^{2608007880960} is an apocalyptic number.

2608007880960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2608007880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844639672460).

2608007880960 is an abundant number, since it is smaller than the sum of its proper divisors (7081271463960).

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

2608007880960 is an frugal number, since it uses more digits than its factorization.

2608007880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96445 (or 96416 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 2608007880960 in words is "two trillion, six hundred eight billion, seven million, eight hundred eighty thousand, nine hundred sixty".