2780979608960 has 128 divisors (see below), whose sum is σ = 7997930323200. Its totient is φ = 903295604736.

The previous prime is 2780979608959. The next prime is 2780979608983. The reversal of 2780979608960 is 698069790872.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16250522 + ... + 16420761.

It is an arithmetic number, because the mean of its divisors is an integer number (62483830650).

Almost surely, 2^{2780979608960} is an apocalyptic number.

2780979608960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2780979608960 is an abundant number, since it is smaller than the sum of its proper divisors (5216950714240).

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

2780979608960 is a wasteful number, since it uses less digits than its factorization.

2780979608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32671328 (or 32671316 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 71.

The spelling of 2780979608960 in words is "two trillion, seven hundred eighty billion, nine hundred seventy-nine million, six hundred eight thousand, nine hundred sixty".