2006304256 has 80 divisors (see below), whose sum is σ = 4402910160. Its totient is φ = 905748480.

The previous prime is 2006304247. The next prime is 2006304257. The reversal of 2006304256 is 6524036002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006304257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 883090 + ... + 885358.

It is an arithmetic number, because the mean of its divisors is an integer number (55036377).

Almost surely, 2^2006304256 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 2006304256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201455080).

2006304256 is an abundant number, since it is smaller than the sum of its proper divisors (2396605904).

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

2006304256 is a wasteful number, since it uses less digits than its factorization.

2006304256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 2006304256 is about 44791.7878187509. The cubic root of 2006304256 is about 1261.2434721916.

The spelling of 2006304256 in words is "two billion, six million, three hundred four thousand, two hundred fifty-six".