2579334912 has 648 divisors, whose sum is σ = 9887334912. Its totient is φ = 638668800.

The previous prime is 2579334883. The next prime is 2579334913. The reversal of 2579334912 is 2194339752.

2579334912 is a `hidden beast` number, since 2 + 579 + 33 + 49 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2579334913) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38497503 + ... + 38497569.

Almost surely, 2^2579334912 is an apocalyptic number.

2579334912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2579334912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4943667456).

2579334912 is an abundant number, since it is smaller than the sum of its proper divisors (7308000000).

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

2579334912 is a wasteful number, since it uses less digits than its factorization.

2579334912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 2579334912 is about 50787.1530212120. The cubic root of 2579334912 is about 1371.4161058391.

The spelling of 2579334912 in words is "two billion, five hundred seventy-nine million, three hundred thirty-four thousand, nine hundred twelve".