2004944480 has 96 divisors (see below), whose sum is σ = 5905509120. Its totient is φ = 624913920.

The previous prime is 2004944443. The next prime is 2004944503. The reversal of 2004944480 is 844494002.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2004944480.

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, 69050 + ... + 93689.

It is an arithmetic number, because the mean of its divisors is an integer number (61515720).

Almost surely, 2^2004944480 is an apocalyptic number.

2004944480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004944480 is an abundant number, since it is smaller than the sum of its proper divisors (3900564640).

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

2004944480 is a wasteful number, since it uses less digits than its factorization.

2004944480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162772 (or 162764 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 2004944480 is about 44776.6063921776. The cubic root of 2004944480 is about 1260.9584711846.

The spelling of 2004944480 in words is "two billion, four million, nine hundred forty-four thousand, four hundred eighty".