2008585809888 has 192 divisors, whose sum is σ = 6381654709248. Its totient is φ = 540001935360.

The previous prime is 2008585809869. The next prime is 2008585809907. The reversal of 2008585809888 is 8889085858002.

It is an interprime number because it is at equal distance from previous prime (2008585809869) and next prime (2008585809907).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57982333 + ... + 58016963.

It is an arithmetic number, because the mean of its divisors is an integer number (33237784944).

Almost surely, 2^{2008585809888} is an apocalyptic number.

2008585809888 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2008585809888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190827354624).

2008585809888 is an abundant number, since it is smaller than the sum of its proper divisors (4373068899360).

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

2008585809888 is a wasteful number, since it uses less digits than its factorization.

2008585809888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39745 (or 39737 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 69.

The spelling of 2008585809888 in words is "two trillion, eight billion, five hundred eighty-five million, eight hundred nine thousand, eight hundred eighty-eight".