2004584956416 has 240 divisors, whose sum is σ = 6637017239424. Its totient is φ = 570558431232.

The previous prime is 2004584956399. The next prime is 2004584956417. The reversal of 2004584956416 is 6146594854002.

It is a happy number.

2004584956416 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 584 + 9 + 56 + 4 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (2004584956417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8365180 + ... + 8601476.

Almost surely, 2^{2004584956416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004584956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318508619712).

2004584956416 is an abundant number, since it is smaller than the sum of its proper divisors (4632432283008).

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

2004584956416 is a wasteful number, since it uses less digits than its factorization.

2004584956416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236591 (or 236572 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 2004584956416 in words is "two trillion, four billion, five hundred eighty-four million, nine hundred fifty-six thousand, four hundred sixteen".