2579260320 has 576 divisors, whose sum is σ = 11249521920. Its totient is φ = 544195584.

The previous prime is 2579260301. The next prime is 2579260339. The reversal of 2579260320 is 230629752.

2579260320 is a `hidden beast` number, since 2 + 5 + 79 + 260 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (2579260301) and next prime (2579260339).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198404634 + ... + 198404646.

It is an arithmetic number, because the mean of its divisors is an integer number (19530420).

Almost surely, 2^2579260320 is an apocalyptic number.

2579260320 is a gapful number since it is divisible by the number (20) 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 2579260320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624760960).

2579260320 is an abundant number, since it is smaller than the sum of its proper divisors (8670261600).

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

2579260320 is an frugal number, since it uses more digits than its factorization.

2579260320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2579260320 is about 50786.4186569599. The cubic root of 2579260320 is about 1371.4028856796.

It can be divided in two parts, 25 and 79260320, that added together give a triangular number (79260345 = T₁₂₅₉₀).

The spelling of 2579260320 in words is "two billion, five hundred seventy-nine million, two hundred sixty thousand, three hundred twenty".