2004408960 has 128 divisors (see below), whose sum is σ = 6406464960. Its totient is φ = 533053440.

The previous prime is 2004408949. The next prime is 2004409013. The reversal of 2004408960 is 698044002.

2004408960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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, 830155 + ... + 832565.

Almost surely, 2^2004408960 is an apocalyptic number.

2004408960 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 2004408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203232480).

2004408960 is an abundant number, since it is smaller than the sum of its proper divisors (4402056000).

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

2004408960 is a wasteful number, since it uses less digits than its factorization.

2004408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2004408960 is about 44770.6260845211. The cubic root of 2004408960 is about 1260.8461939923.

The spelling of 2004408960 in words is "two billion, four million, four hundred eight thousand, nine hundred sixty".