2008604800 has 96 divisors (see below), whose sum is σ = 4985367300. Its totient is φ = 799641600.

The previous prime is 2008604797. The next prime is 2008604809. The reversal of 2008604800 is 84068002.

It can be written as a sum of positive squares in 6 ways, for example, as 1030666816 + 977937984 = 32104^2 + 31272^2 .

It is not an unprimeable number, because it can be changed into a prime (2008604809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 731430 + ... + 734170.

Almost surely, 2^2008604800 is an apocalyptic number.

2008604800 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 2008604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492683650).

2008604800 is an abundant number, since it is smaller than the sum of its proper divisors (2976762500).

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

2008604800 is a wasteful number, since it uses less digits than its factorization.

2008604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2008604800 is about 44817.4608830085. The cubic root of 2008604800 is about 1261.7253595180.

The spelling of 2008604800 in words is "two billion, eight million, six hundred four thousand, eight hundred".