2008043820288 has 1008 divisors, whose sum is σ = 6948919756800. Its totient is φ = 572885913600.

The previous prime is 2008043820269. The next prime is 2008043820347. The reversal of 2008043820288 is 8820283408002.

It is a happy number.

2008043820288 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 0 + 438 + 202 + 8 + 8 = 666.

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 3352326613 + ... + 3352327211.

It is an arithmetic number, because the mean of its divisors is an integer number (6893769600).

Almost surely, 2^{2008043820288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2008043820288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474459878400).

2008043820288 is an abundant number, since it is smaller than the sum of its proper divisors (4940875936512).

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

2008043820288 is an equidigital number, since it uses as much as digits as its factorization.

2008043820288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 2008043820288 in words is "two trillion, eight billion, forty-three million, eight hundred twenty thousand, two hundred eighty-eight".