2004217597984 has 192 divisors, whose sum is σ = 4788467712000. Its totient is φ = 806635957248.

The previous prime is 2004217597969. The next prime is 2004217598039. The reversal of 2004217597984 is 4897957124002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234599217 + ... + 234607759.

It is an arithmetic number, because the mean of its divisors is an integer number (24939936000).

Almost surely, 2^{2004217597984} 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 2004217597984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394233856000).

2004217597984 is an abundant number, since it is smaller than the sum of its proper divisors (2784250114016).

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

2004217597984 is a wasteful number, since it uses less digits than its factorization.

2004217597984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9055 (or 9047 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 2004217597984 in words is "two trillion, four billion, two hundred seventeen million, five hundred ninety-seven thousand, nine hundred eighty-four".