2256457505 has 24 divisors (see below), whose sum is σ = 2770512360. Its totient is φ = 1764115200.

The previous prime is 2256457501. The next prime is 2256457507. The reversal of 2256457505 is 5057546522.

It can be written as a sum of positive squares in 4 ways, for example, as 741146176 + 1515311329 = 27224^2 + 38927^2 .

It is not a de Polignac number, because 2256457505 - 2² = 2256457501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2256457501) by changing a digit.

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, 3754205 + ... + 3754805.

It is an arithmetic number, because the mean of its divisors is an integer number (115438015).

Almost surely, 2^2256457505 is an apocalyptic number.

It is an amenable number.

2256457505 is a deficient number, since it is larger than the sum of its proper divisors (514054855).

2256457505 is an equidigital number, since it uses as much as digits as its factorization.

2256457505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 41.

The square root of 2256457505 is about 47502.1842129391. The cubic root of 2256457505 is about 1311.6230886828.

The spelling of 2256457505 in words is "two billion, two hundred fifty-six million, four hundred fifty-seven thousand, five hundred five".