2880617210880 has 352 divisors, whose sum is σ = 9621227520000. Its totient is φ = 734218518528.

The previous prime is 2880617210839. The next prime is 2880617210899. The reversal of 2880617210880 is 880127160882.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 706204681 + ... + 706208759.

Almost surely, 2^{2880617210880} is an apocalyptic number.

2880617210880 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 2880617210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810613760000).

2880617210880 is an abundant number, since it is smaller than the sum of its proper divisors (6740610309120).

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

2880617210880 is a wasteful number, since it uses less digits than its factorization.

2880617210880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6129 (or 6111 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 51.

The spelling of 2880617210880 in words is "two trillion, eight hundred eighty billion, six hundred seventeen million, two hundred ten thousand, eight hundred eighty".