2008620460800 has 432 divisors, whose sum is σ = 7371402783360. Its totient is φ = 535196160000.

The previous prime is 2008620460757. The next prime is 2008620460831. The reversal of 2008620460800 is 80640268002.

2008620460800 is a `hidden beast` number, since 20 + 0 + 8 + 6 + 20 + 4 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250728795 + ... + 250736805.

Almost surely, 2^{2008620460800} is an apocalyptic number.

2008620460800 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 2008620460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685701391680).

2008620460800 is an abundant number, since it is smaller than the sum of its proper divisors (5362782322560).

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

2008620460800 is a wasteful number, since it uses less digits than its factorization.

2008620460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9497 (or 9472 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 2008620460800 in words is "two trillion, eight billion, six hundred twenty million, four hundred sixty thousand, eight hundred".