2579972905419 has 32 divisors (see below), whose sum is σ = 4233910840320. Its totient is φ = 1360829745792.

The previous prime is 2579972905397. The next prime is 2579972905453. The reversal of 2579972905419 is 9145092799752.

It is not a de Polignac number, because 2579972905419 - 2⁵ = 2579972905387 is a prime.

It is a super-2 number, since 2×2579972905419² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2579972905469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13117497 + ... + 13312725.

It is an arithmetic number, because the mean of its divisors is an integer number (132309713760).

Almost surely, 2^{2579972905419} is an apocalyptic number.

2579972905419 is a deficient number, since it is larger than the sum of its proper divisors (1653937934901).

2579972905419 is a wasteful number, since it uses less digits than its factorization.

2579972905419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243659.

The product of its (nonzero) digits is 128595600, while the sum is 69.

The spelling of 2579972905419 in words is "two trillion, five hundred seventy-nine billion, nine hundred seventy-two million, nine hundred five thousand, four hundred nineteen".