2578759260 has 288 divisors, whose sum is σ = 9252714240. Its totient is φ = 535032960.

The previous prime is 2578759231. The next prime is 2578759303. The reversal of 2578759260 is 629578752.

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, 3912811 + ... + 3913469.

It is an arithmetic number, because the mean of its divisors is an integer number (32127480).

Almost surely, 2^2578759260 is an apocalyptic number.

2578759260 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 2578759260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626357120).

2578759260 is an abundant number, since it is smaller than the sum of its proper divisors (6673954980).

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

2578759260 is a wasteful number, since it uses less digits than its factorization.

2578759260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The square root of 2578759260 is about 50781.4854056082. The cubic root of 2578759260 is about 1371.3140747357.

The spelling of 2578759260 in words is "two billion, five hundred seventy-eight million, seven hundred fifty-nine thousand, two hundred sixty".