2005008 has 20 divisors (see below), whose sum is σ = 5179728. Its totient is φ = 668320.

The previous prime is 2005001. The next prime is 2005019. The reversal of 2005008 is 8005002.

It is not an unprimeable number, because it can be changed into a prime (2005001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20838 + ... + 20933.

2^2005008 is an apocalyptic number.

It is an amenable number.

2005008 is an abundant number, since it is smaller than the sum of its proper divisors (3174720).

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

2005008 is a wasteful number, since it uses less digits than its factorization.

2005008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41782 (or 41776 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2005008 is about 1415.9830507460. The cubic root of 2005008 is about 126.0971787470.

The spelling of 2005008 in words is "two million, five thousand, eight".