2008813415336 has 256 divisors, whose sum is σ = 4792911782400. Its totient is φ = 768268800000.

The previous prime is 2008813415303. The next prime is 2008813415351. The reversal of 2008813415336 is 6335143188002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 892408211 + ... + 892410461.

It is an arithmetic number, because the mean of its divisors is an integer number (18722311650).

Almost surely, 2^{2008813415336} is an apocalyptic number.

2008813415336 is a gapful number since it is divisible by the number (26) 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 2008813415336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396455891200).

2008813415336 is an abundant number, since it is smaller than the sum of its proper divisors (2784098367064).

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

2008813415336 is a wasteful number, since it uses less digits than its factorization.

2008813415336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 2008813415336 in words is "two trillion, eight billion, eight hundred thirteen million, four hundred fifteen thousand, three hundred thirty-six".