2256304128 has 288 divisors, whose sum is σ = 6798420720. Its totient is φ = 664535040.

The previous prime is 2256304079. The next prime is 2256304133. The reversal of 2256304128 is 8214036522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42571750 + ... + 42571802.

Almost surely, 2^2256304128 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 2256304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399210360).

2256304128 is an abundant number, since it is smaller than the sum of its proper divisors (4542116592).

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

2256304128 is a wasteful number, since it uses less digits than its factorization.

2256304128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2256304128 is about 47500.5697650039. The cubic root of 2256304128 is about 1311.5933699205.

The spelling of 2256304128 in words is "two billion, two hundred fifty-six million, three hundred four thousand, one hundred twenty-eight".