2004846197256 has 192 divisors, whose sum is σ = 6428462976000. Its totient is φ = 552361420800.

The previous prime is 2004846197251. The next prime is 2004846197281. The reversal of 2004846197256 is 6527916484002.

2004846197256 is a `hidden beast` number, since 2 + 0 + 0 + 48 + 461 + 97 + 2 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (2004846197251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4162020 + ... + 4618668.

It is an arithmetic number, because the mean of its divisors is an integer number (33481578000).

Almost surely, 2^{2004846197256} 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 2004846197256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214231488000).

2004846197256 is an abundant number, since it is smaller than the sum of its proper divisors (4423616778744).

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

2004846197256 is a wasteful number, since it uses less digits than its factorization.

2004846197256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456980 (or 456973 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2004846197256 in words is "two trillion, four billion, eight hundred forty-six million, one hundred ninety-seven thousand, two hundred fifty-six".