2008008000000 has 630 divisors, whose sum is σ = 7287602869833. Its totient is φ = 532262400000.

The previous prime is 2008007999989. The next prime is 2008008000023. The reversal of 2008008000000 is 8008002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 342421588224 + 1665586411776 = 585168^2 + 1290576^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1002000.

It is a super-2 number, since 2×2008008000000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 12023999917 + ... + 12024000083.

Almost surely, 2^{2008008000000} is an apocalyptic number.

2008008000000 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 2008008000000

2008008000000 is an abundant number, since it is smaller than the sum of its proper divisors (5279594869833).

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

2008008000000 is an frugal number, since it uses more digits than its factorization.

2008008000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Multiplying 2008008000000 by its sum of digits (18), we get a square (36144144000000 = 6012000²).

2008008000000 divided by its sum of digits (18) gives a square (111556000000 = 334000²).

Multiplying 2008008000000 by its product of nonzero digits (128), we get a square (257025024000000 = 16032000²).

2008008000000 divided by its product of nonzero digits (128) gives a square (15687562500 = 125250²).

The spelling of 2008008000000 in words is "two trillion, eight billion, eight million", and thus it is an aban number and an uban number.