2579297280 has 528 divisors, whose sum is σ = 10081065600. Its totient is φ = 560136192.

The previous prime is 2579297267. The next prime is 2579297327. The reversal of 2579297280 is 827929752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17310646 + ... + 17310794.

Almost surely, 2^2579297280 is an apocalyptic number.

2579297280 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 2579297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040532800).

2579297280 is an abundant number, since it is smaller than the sum of its proper divisors (7501768320).

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

2579297280 is a wasteful number, since it uses less digits than its factorization.

2579297280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The square root of 2579297280 is about 50786.7825324661. The cubic root of 2579297280 is about 1371.4094362409.

The spelling of 2579297280 in words is "two billion, five hundred seventy-nine million, two hundred ninety-seven thousand, two hundred eighty".