2008408952000 has 224 divisors, whose sum is σ = 5454150721344. Its totient is φ = 726540288000.

The previous prime is 2008408951951. The next prime is 2008408952021. The reversal of 2008408952000 is 2598048002.

It is an unprimeable number.

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, 16924874 + ... + 17043126.

Almost surely, 2^{2008408952000} is an apocalyptic number.

2008408952000 is a gapful number since it is divisible by the number (20) 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 2008408952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727075360672).

2008408952000 is an abundant number, since it is smaller than the sum of its proper divisors (3445741769344).

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

2008408952000 is a wasteful number, since it uses less digits than its factorization.

2008408952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118484 (or 118464 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 2008408952000 in words is "two trillion, eight billion, four hundred eight million, nine hundred fifty-two thousand".