2004856896 has 112 divisors (see below), whose sum is σ = 6381455360. Its totient is φ = 542661120.

The previous prime is 2004856883. The next prime is 2004856921. The reversal of 2004856896 is 6986584002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13720 + ... + 64791.

It is an arithmetic number, because the mean of its divisors is an integer number (56977280).

Almost surely, 2^2004856896 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 2004856896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190727680).

2004856896 is an abundant number, since it is smaller than the sum of its proper divisors (4376598464).

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

2004856896 is a wasteful number, since it uses less digits than its factorization.

2004856896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78552 (or 78542 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 2004856896 is about 44775.6283708001. The cubic root of 2004856896 is about 1260.9401096795.

The spelling of 2004856896 in words is "two billion, four million, eight hundred fifty-six thousand, eight hundred ninety-six".