2579941960960 has 144 divisors (see below), whose sum is σ = 7605867701376. Its totient is φ = 816509067264.

The previous prime is 2579941960951. The next prime is 2579941960979. The reversal of 2579941960960 is 690691499752.

It is a super-2 number, since 2×2579941960960² (a number of 26 digits) contains 22 as substring.

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, 10958134 + ... + 11191093.

It is an arithmetic number, because the mean of its divisors is an integer number (52818525704).

Almost surely, 2^{2579941960960} is an apocalyptic number.

2579941960960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2579941960960 is an abundant number, since it is smaller than the sum of its proper divisors (5025925740416).

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

2579941960960 is a wasteful number, since it uses less digits than its factorization.

2579941960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22149268 (or 22149254 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 67.

The spelling of 2579941960960 in words is "two trillion, five hundred seventy-nine billion, nine hundred forty-one million, nine hundred sixty thousand, nine hundred sixty".