2008624080 has 80 divisors (see below), whose sum is σ = 6314488704. Its totient is φ = 528084480.

The previous prime is 2008624039. The next prime is 2008624091. The reversal of 2008624080 is 804268002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41899 + ... + 75978.

Almost surely, 2^2008624080 is an apocalyptic number.

2008624080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2008624080 is an abundant number, since it is smaller than the sum of its proper divisors (4305864624).

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

2008624080 is a wasteful number, since it uses less digits than its factorization.

2008624080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117964 (or 117958 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2008624080 is about 44817.6759772302. The cubic root of 2008624080 is about 1261.7293964806.

The spelling of 2008624080 in words is "two billion, eight million, six hundred twenty-four thousand, eighty".