2004082608 has 160 divisors (see below), whose sum is σ = 6003901440. Its totient is φ = 569652480.

The previous prime is 2004082603. The next prime is 2004082609. The reversal of 2004082608 is 8062804002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2004082601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072491 + ... + 1074357.

It is an arithmetic number, because the mean of its divisors is an integer number (37524384).

Almost surely, 2^2004082608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004082608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001950720).

2004082608 is an abundant number, since it is smaller than the sum of its proper divisors (3999818832).

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

2004082608 is a wasteful number, since it uses less digits than its factorization.

2004082608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2009 counting only the distinct ones).

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

The square root of 2004082608 is about 44766.9812250056. The cubic root of 2004082608 is about 1260.7777611826. Note that the first 4 decimals are identical.

The spelling of 2004082608 in words is "two billion, four million, eighty-two thousand, six hundred eight".