2004416456 has 32 divisors (see below), whose sum is σ = 4297356480. Its totient is φ = 858600000.

The previous prime is 2004416441. The next prime is 2004416471. The reversal of 2004416456 is 6546144002.

It is an interprime number because it is at equal distance from previous prime (2004416441) and next prime (2004416471).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118106 + ... + 134006.

It is an arithmetic number, because the mean of its divisors is an integer number (134292390).

Almost surely, 2^2004416456 is an apocalyptic number.

It is an amenable number.

2004416456 is an abundant number, since it is smaller than the sum of its proper divisors (2292940024).

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

2004416456 is a wasteful number, since it uses less digits than its factorization.

2004416456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18165 (or 18161 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2004416456 is about 44770.7098000467. The cubic root of 2004416456 is about 1260.8477657427.

The spelling of 2004416456 in words is "two billion, four million, four hundred sixteen thousand, four hundred fifty-six".