2679104315584 has 56 divisors (see below), whose sum is σ = 5381569252080. Its totient is φ = 1323125382144.

The previous prime is 2679104315509. The next prime is 2679104315611. The reversal of 2679104315584 is 4855134019762.

It is a super-2 number, since 2×2679104315584² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25514262 + ... + 25619050.

It is an arithmetic number, because the mean of its divisors is an integer number (96099450930).

It is a 1-persistent number, because it is pandigital, but 2⋅2679104315584 = 5358208631168 is not.

Almost surely, 2^{2679104315584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2679104315584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690784626040).

2679104315584 is an abundant number, since it is smaller than the sum of its proper divisors (2702464936496).

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

2679104315584 is a wasteful number, since it uses less digits than its factorization.

2679104315584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109697 (or 109687 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 2679104315584 in words is "two trillion, six hundred seventy-nine billion, one hundred four million, three hundred fifteen thousand, five hundred eighty-four".