2008613956608 has 616 divisors, whose sum is σ = 7242638411520. Its totient is φ = 543658106880.

The previous prime is 2008613956571. The next prime is 2008613956621. The reversal of 2008613956608 is 8066593168002.

It is a happy number.

2008613956608 is a `hidden beast` number, since 20 + 0 + 8 + 6 + 1 + 3 + 9 + 5 + 6 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 99273853 + ... + 99294083.

Almost surely, 2^{2008613956608} is an apocalyptic number.

2008613956608 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 2008613956608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621319205760).

2008613956608 is an abundant number, since it is smaller than the sum of its proper divisors (5234024454912).

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

2008613956608 is an equidigital number, since it uses as much as digits as its factorization.

2008613956608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20295 (or 20262 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 2008613956608 in words is "two trillion, eight billion, six hundred thirteen million, nine hundred fifty-six thousand, six hundred eight".