2004783480 has 512 divisors, whose sum is σ = 8522496000. Its totient is φ = 408084480.

The previous prime is 2004783457. The next prime is 2004783491. The reversal of 2004783480 is 843874002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2441470 + ... + 2442290.

It is an arithmetic number, because the mean of its divisors is an integer number (16645500).

Almost surely, 2^2004783480 is an apocalyptic number.

2004783480 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 2004783480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4261248000).

2004783480 is an abundant number, since it is smaller than the sum of its proper divisors (6517712520).

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

2004783480 is a wasteful number, since it uses less digits than its factorization.

2004783480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2004783480 is about 44774.8085423042. The cubic root of 2004783480 is about 1260.9247180059.

The spelling of 2004783480 in words is "two billion, four million, seven hundred eighty-three thousand, four hundred eighty".