2004589684440 has 288 divisors, whose sum is σ = 7580120914080. Its totient is φ = 458098550784.

The previous prime is 2004589684421. The next prime is 2004589684453. The reversal of 2004589684440 is 444869854002.

It is a happy number.

2004589684440 is a `hidden beast` number, since 2 + 0 + 0 + 45 + 89 + 6 + 84 + 440 = 666.

It is a super-2 number, since 2×2004589684440² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124477429 + ... + 124493531.

It is an arithmetic number, because the mean of its divisors is an integer number (26319864285).

Almost surely, 2^{2004589684440} is an apocalyptic number.

2004589684440 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 2004589684440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790060457040).

2004589684440 is an abundant number, since it is smaller than the sum of its proper divisors (5575531229640).

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

2004589684440 is a wasteful number, since it uses less digits than its factorization.

2004589684440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23191 (or 23177 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 2004589684440 in words is "two trillion, four billion, five hundred eighty-nine million, six hundred eighty-four thousand, four hundred forty".