2004563682 has 72 divisors (see below), whose sum is σ = 4812208128. Its totient is φ = 602577360.

The previous prime is 2004563663. The next prime is 2004563749. The reversal of 2004563682 is 2863654002.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 272983 + ... + 280229.

It is an arithmetic number, because the mean of its divisors is an integer number (66836224).

Almost surely, 2^2004563682 is an apocalyptic number.

2004563682 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004563682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406104064).

2004563682 is an abundant number, since it is smaller than the sum of its proper divisors (2807644446).

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

2004563682 is a wasteful number, since it uses less digits than its factorization.

2004563682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7404 (or 7390 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2004563682 is about 44772.3539921680. The cubic root of 2004563682 is about 1260.8786350809.

The spelling of 2004563682 in words is "two billion, four million, five hundred sixty-three thousand, six hundred eighty-two".