2008258656 has 144 divisors (see below), whose sum is σ = 5652561600. Its totient is φ = 622550016.

The previous prime is 2008258633. The next prime is 2008258661. The reversal of 2008258656 is 6568528002.

2008258656 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14447835 + ... + 14447973.

It is an arithmetic number, because the mean of its divisors is an integer number (39253900).

Almost surely, 2^2008258656 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 2008258656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826280800).

2008258656 is an abundant number, since it is smaller than the sum of its proper divisors (3644302944).

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

2008258656 is a wasteful number, since it uses less digits than its factorization.

2008258656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 2008258656 is about 44813.5990074442. The cubic root of 2008258656 is about 1261.6528774062.

The spelling of 2008258656 in words is "two billion, eight million, two hundred fifty-eight thousand, six hundred fifty-six".