2558336256 has 648 divisors, whose sum is σ = 9596530944. Its totient is φ = 650280960.

The previous prime is 2558336233. The next prime is 2558336257. The reversal of 2558336256 is 6526338552.

2558336256 is a `hidden beast` number, since 2 + 5 + 583 + 3 + 62 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2558336257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59496171 + ... + 59496213.

Almost surely, 2^2558336256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2558336256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798265472).

2558336256 is an abundant number, since it is smaller than the sum of its proper divisors (7038194688).

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

2558336256 is a wasteful number, since it uses less digits than its factorization.

2558336256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 103 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The square root of 2558336256 is about 50579.9985765124. The cubic root of 2558336256 is about 1367.6843428874.

The spelling of 2558336256 in words is "two billion, five hundred fifty-eight million, three hundred thirty-six thousand, two hundred fifty-six".