2004464640 has 176 divisors, whose sum is σ = 6586296192. Its totient is φ = 519929856.

The previous prime is 2004464639. The next prime is 2004464663. The reversal of 2004464640 is 464644002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2004464598 and 2004464607.

It is a congruent number.

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, 566557 + ... + 570083.

Almost surely, 2^2004464640 is an apocalyptic number.

2004464640 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 2004464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293148096).

2004464640 is an abundant number, since it is smaller than the sum of its proper divisors (4581831552).

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

2004464640 is a wasteful number, since it uses less digits than its factorization.

2004464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2004464640 is about 44771.2479164921. The cubic root of 2004464640 is about 1260.8578687998.

The spelling of 2004464640 in words is "two billion, four million, four hundred sixty-four thousand, six hundred forty".