2008973664 has 240 divisors, whose sum is σ = 6291719280. Its totient is φ = 628798464.

The previous prime is 2008973647. The next prime is 2008973669. The reversal of 2008973664 is 4663798002.

2008973664 is a `hidden beast` number, since 200 + 89 + 7 + 366 + 4 = 666.

2008973664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008973669) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17778472 + ... + 17778584.

It is an arithmetic number, because the mean of its divisors is an integer number (26215497).

Almost surely, 2^2008973664 is an apocalyptic number.

2008973664 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 2008973664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145859640).

2008973664 is an abundant number, since it is smaller than the sum of its proper divisors (4282745616).

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

2008973664 is an equidigital number, since it uses as much as digits as its factorization.

2008973664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2008973664 is about 44821.5758759105. The cubic root of 2008973664 is about 1261.8025900043.

The spelling of 2008973664 in words is "two billion, eight million, nine hundred seventy-three thousand, six hundred sixty-four".