2008665504 has 72 divisors (see below), whose sum is σ = 5753950020. Its totient is φ = 664654848.

The previous prime is 2008665499. The next prime is 2008665539. The reversal of 2008665504 is 4055668002.

2008665504 is a `hidden beast` number, since 20 + 0 + 86 + 6 + 550 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1998090000 + 10575504 = 44700^2 + 3252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×2008665504³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14002 + ... + 64910.

Almost surely, 2^2008665504 is an apocalyptic number.

2008665504 is a gapful number since it is divisible by the number (24) 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 2008665504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876975010).

2008665504 is an abundant number, since it is smaller than the sum of its proper divisors (3745284516).

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

2008665504 is a wasteful number, since it uses less digits than its factorization.

2008665504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51062 (or 51051 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2008665504 is about 44818.1381139378. The cubic root of 2008665504 is about 1261.7380699999.

The spelling of 2008665504 in words is "two billion, eight million, six hundred sixty-five thousand, five hundred four".