2579978433312 has 648 divisors, whose sum is σ = 8909294442048. Its totient is φ = 706049809920.

The previous prime is 2579978433203. The next prime is 2579978433313. The reversal of 2579978433312 is 2133348799752.

2579978433312 is a `hidden beast` number, since 2 + 579 + 9 + 7 + 8 + 43 + 3 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2579978433312.

It is not an unprimeable number, because it can be changed into a prime (2579978433313) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1396847173 + ... + 1396849019.

It is an arithmetic number, because the mean of its divisors is an integer number (13748911176).

Almost surely, 2^{2579978433312} 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 2579978433312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454647221024).

2579978433312 is an abundant number, since it is smaller than the sum of its proper divisors (6329316008736).

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

2579978433312 is a wasteful number, since it uses less digits than its factorization.

2579978433312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 1993 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 2579978433312 in words is "two trillion, five hundred seventy-nine billion, nine hundred seventy-eight million, four hundred thirty-three thousand, three hundred twelve".