2808801408960 has 168 divisors, whose sum is σ = 9664154519760. Its totient is φ = 748777402368.

The previous prime is 2808801408937. The next prime is 2808801409021. The reversal of 2808801408960 is 698041088082.

It is a junction number, because it is equal to n+sod(n) for n = 2808801408897 and 2808801408906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9072396 + ... + 9376884.

Almost surely, 2^{2808801408960} is an apocalyptic number.

2808801408960 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 2808801408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832077259880).

2808801408960 is an abundant number, since it is smaller than the sum of its proper divisors (6855353110800).

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

2808801408960 is a wasteful number, since it uses less digits than its factorization.

2808801408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307715 (or 307702 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 2808801408960 in words is "two trillion, eight hundred eight billion, eight hundred one million, four hundred eight thousand, nine hundred sixty".