2558966208 has 112 divisors (see below), whose sum is σ = 7546360320. Its totient is φ = 760541184.

The previous prime is 2558966173. The next prime is 2558966209. The reversal of 2558966208 is 8026698552.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2558966209) 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 15 ways as a sum of consecutive naturals, for example, 41385 + ... + 82647.

Almost surely, 2^2558966208 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 2558966208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773180160).

2558966208 is an abundant number, since it is smaller than the sum of its proper divisors (4987394112).

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

2558966208 is a wasteful number, since it uses less digits than its factorization.

2558966208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41314 (or 41304 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The square root of 2558966208 is about 50586.2254769023. The cubic root of 2558966208 is about 1367.7965909390.

The spelling of 2558966208 in words is "two billion, five hundred fifty-eight million, nine hundred sixty-six thousand, two hundred eight".