2880195808464 has 240 divisors, whose sum is σ = 9011930491200. Its totient is φ = 885245718528.

The previous prime is 2880195808381. The next prime is 2880195808471. The reversal of 2880195808464 is 4648085910882.

2880195808464 is a `hidden beast` number, since 2 + 8 + 8 + 0 + 1 + 9 + 580 + 8 + 46 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46924707 + ... + 46986045.

It is an arithmetic number, because the mean of its divisors is an integer number (37549710380).

Almost surely, 2^{2880195808464} is an apocalyptic number.

2880195808464 is a gapful number since it is divisible by the number (24) 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 2880195808464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505965245600).

2880195808464 is an abundant number, since it is smaller than the sum of its proper divisors (6131734682736).

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

2880195808464 is a wasteful number, since it uses less digits than its factorization.

2880195808464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62304 (or 62286 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 2880195808464 in words is "two trillion, eight hundred eighty billion, one hundred ninety-five million, eight hundred eight thousand, four hundred sixty-four".