2004835217000 has 256 divisors, whose sum is σ = 6156753408000. Its totient is φ = 591994656000.

The previous prime is 2004835216999. The next prime is 2004835217071. The reversal of 2004835217000 is 7125384002.

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 63 ways as a sum of consecutive naturals, for example, 777821 + ... + 2148179.

It is an arithmetic number, because the mean of its divisors is an integer number (24049818000).

Almost surely, 2^{2004835217000} is an apocalyptic number.

2004835217000 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 2004835217000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078376704000).

2004835217000 is an abundant number, since it is smaller than the sum of its proper divisors (4151918191000).

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

2004835217000 is a wasteful number, since it uses less digits than its factorization.

2004835217000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370417 (or 1370403 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 2004835217000 in words is "two trillion, four billion, eight hundred thirty-five million, two hundred seventeen thousand".