2560458600 has 480 divisors, whose sum is σ = 10345558080. Its totient is φ = 574801920.

The previous prime is 2560458599. The next prime is 2560458613. The reversal of 2560458600 is 68540652.

2560458600 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 45 + 8 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7597632 + ... + 7597968.

It is an arithmetic number, because the mean of its divisors is an integer number (21553246).

Almost surely, 2^2560458600 is an apocalyptic number.

2560458600 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 2560458600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5172779040).

2560458600 is an abundant number, since it is smaller than the sum of its proper divisors (7785099480).

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

2560458600 is a wasteful number, since it uses less digits than its factorization.

2560458600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2560458600 is about 50600.9742989204. The cubic root of 2560458600 is about 1368.0624394400.

The spelling of 2560458600 in words is "two billion, five hundred sixty million, four hundred fifty-eight thousand, six hundred".