2008538168 has 64 divisors (see below), whose sum is σ = 4907770560. Its totient is φ = 747841536.

The previous prime is 2008538149. The next prime is 2008538171. The reversal of 2008538168 is 8618358002.

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, 68771 + ... + 93522.

It is an arithmetic number, because the mean of its divisors is an integer number (76683915).

Almost surely, 2^2008538168 is an apocalyptic number.

2008538168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2008538168 is an abundant number, since it is smaller than the sum of its proper divisors (2899232392).

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

2008538168 is a wasteful number, since it uses less digits than its factorization.

2008538168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162336 (or 162332 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The square root of 2008538168 is about 44816.7175058594. The cubic root of 2008538168 is about 1261.7114075095.

The spelling of 2008538168 in words is "two billion, eight million, five hundred thirty-eight thousand, one hundred sixty-eight".