2004681840 has 320 divisors, whose sum is σ = 7670937600. Its totient is φ = 422940672.

The previous prime is 2004681827. The next prime is 2004681841. The reversal of 2004681840 is 481864002.

2004681840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004681841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1119666 + ... + 1121454.

It is an arithmetic number, because the mean of its divisors is an integer number (23971680).

Almost surely, 2^2004681840 is an apocalyptic number.

2004681840 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 2004681840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3835468800).

2004681840 is an abundant number, since it is smaller than the sum of its proper divisors (5666255760).

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

2004681840 is a wasteful number, since it uses less digits than its factorization.

2004681840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2004681840 is about 44773.6735146894. The cubic root of 2004681840 is about 1260.9034085469.

The spelling of 2004681840 in words is "two billion, four million, six hundred eighty-one thousand, eight hundred forty".