2579412096 has 192 divisors, whose sum is σ = 7866256320. Its totient is φ = 809588736.

The previous prime is 2579411993. The next prime is 2579412097. The reversal of 2579412096 is 6902149752.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2579412096² = 13306733521982226432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2579412097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1774506 + ... + 1775958.

It is an arithmetic number, because the mean of its divisors is an integer number (40970085).

Almost surely, 2^2579412096 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 2579412096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933128160).

2579412096 is an abundant number, since it is smaller than the sum of its proper divisors (5286844224).

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

2579412096 is a wasteful number, since it uses less digits than its factorization.

2579412096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2579412096 is about 50787.9128927346. The cubic root of 2579412096 is about 1371.4297851180.

The spelling of 2579412096 in words is "two billion, five hundred seventy-nine million, four hundred twelve thousand, ninety-six".