2008538112 has 352 divisors, whose sum is σ = 6640533504. Its totient is φ = 527155200.

The previous prime is 2008538111. The next prime is 2008538137. The reversal of 2008538112 is 2118358002.

It is a self number, because there is not a number n which added to its sum of digits gives 2008538112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008538111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15332287 + ... + 15332417.

It is an arithmetic number, because the mean of its divisors is an integer number (18865152).

Almost surely, 2^2008538112 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 2008538112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320266752).

2008538112 is an abundant number, since it is smaller than the sum of its proper divisors (4631995392).

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

2008538112 is a wasteful number, since it uses less digits than its factorization.

2008538112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 2008538112 is about 44816.7168810925. The cubic root of 2008538112 is about 1261.7113957836.

The spelling of 2008538112 in words is "two billion, eight million, five hundred thirty-eight thousand, one hundred twelve".