2558656280 has 64 divisors (see below), whose sum is σ = 6066662400. Its totient is φ = 968526720.

The previous prime is 2558656279. The next prime is 2558656297. The reversal of 2558656280 is 826568552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1192889 + ... + 1195031.

It is an arithmetic number, because the mean of its divisors is an integer number (94791600).

Almost surely, 2^2558656280 is an apocalyptic number.

2558656280 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 2558656280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033331200).

2558656280 is an abundant number, since it is smaller than the sum of its proper divisors (3508006120).

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

2558656280 is a wasteful number, since it uses less digits than its factorization.

2558656280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 47.

The square root of 2558656280 is about 50583.1620205776. The cubic root of 2558656280 is about 1367.7413686939.

The spelling of 2558656280 in words is "two billion, five hundred fifty-eight million, six hundred fifty-six thousand, two hundred eighty".