2004005256 has 128 divisors (see below), whose sum is σ = 5571417600. Its totient is φ = 595630080.

The previous prime is 2004005251. The next prime is 2004005287. The reversal of 2004005256 is 6525004002.

2004005256 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2004005251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3559231 + ... + 3559793.

It is an arithmetic number, because the mean of its divisors is an integer number (43526700).

Almost surely, 2^2004005256 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 2004005256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785708800).

2004005256 is an abundant number, since it is smaller than the sum of its proper divisors (3567412344).

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

2004005256 is a wasteful number, since it uses less digits than its factorization.

2004005256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2004005256 is about 44766.1172763509. The cubic root of 2004005256 is about 1260.7615401387.

Adding to 2004005256 its reverse (6525004002), we get a palindrome (8529009258).

The spelling of 2004005256 in words is "two billion, four million, five thousand, two hundred fifty-six".