2256500034 has 48 divisors (see below), whose sum is σ = 5069184120. Its totient is φ = 724577280.

The previous prime is 2256500027. The next prime is 2256500053. The reversal of 2256500034 is 4300056522.

2256500034 is a `hidden beast` number, since 2 + 2 + 5 + 650 + 0 + 0 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1328383809 + 928116225 = 36447^2 + 30465^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2256499980 and 2256500007.

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 23 ways as a sum of consecutive naturals, for example, 235954 + ... + 245330.

Almost surely, 2^2256500034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256500034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534592060).

2256500034 is an abundant number, since it is smaller than the sum of its proper divisors (2812684086).

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

2256500034 is a wasteful number, since it uses less digits than its factorization.

2256500034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9875 (or 9872 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2256500034 is about 47502.6318639294. The cubic root of 2256500034 is about 1311.6313289839.

Adding to 2256500034 its reverse (4300056522), we get a palindrome (6556556556).

The spelling of 2256500034 in words is "two billion, two hundred fifty-six million, five hundred thousand, thirty-four".