2000008000008 has 36 divisors (see below), whose sum is σ = 5416720833615. Its totient is φ = 666665333328.

The previous prime is 2000007999961. The next prime is 2000008000009. The reversal of 2000008000008 is 8000008000002.

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 only one way, i.e., 1000004000004 + 1000004000004 = 1000002^2 + 1000002^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1000002.

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

It is not an unprimeable number, because it can be changed into a prime (2000008000009) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11916691 + ... + 12083357.

Almost surely, 2^{2000008000008} is an apocalyptic number.

It is an amenable number.

2000008000008 is an abundant number, since it is smaller than the sum of its proper divisors (3416712833607).

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

2000008000008 is an frugal number, since it uses more digits than its factorization.

2000008000008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333346 (or 166672 counting only the distinct ones).

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

Multiplying 2000008000008 by its sum of digits (18), we get a square (36000144000144 = 6000012²).

2000008000008 divided by its sum of digits (18) gives a square (111111555556 = 333334²).

Multiplying 2000008000008 by its product of nonzero digits (128), we get a square (256001024001024 = 16000032²).

The spelling of 2000008000008 in words is "two trillion, eight million, eight", and thus it is an aban number and an uban number.