2579865780096 has 480 divisors, whose sum is σ = 8537677976520. Its totient is φ = 766931742720.

The previous prime is 2579865780077. The next prime is 2579865780103. The reversal of 2579865780096 is 6900875689752.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 320356806 + ... + 320364858.

Almost surely, 2^{2579865780096} 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 2579865780096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268838988260).

2579865780096 is an abundant number, since it is smaller than the sum of its proper divisors (5957812196424).

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

2579865780096 is an equidigital number, since it uses as much as digits as its factorization.

2579865780096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8196 (or 8122 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 2579865780096 in words is "two trillion, five hundred seventy-nine billion, eight hundred sixty-five million, seven hundred eighty thousand, ninety-six".