2256753407 has 8 divisors (see below), whose sum is σ = 2409882240. Its totient is φ = 2108645280.

The previous prime is 2256753379. The next prime is 2256753487. The reversal of 2256753407 is 7043576522.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2256753407 - 2²⁶ = 2189644543 is a prime.

It is a super-2 number, since 2×2256753407² = 10185871880012215298, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256753487) 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 7 ways as a sum of consecutive naturals, for example, 1254248 + ... + 1256045.

It is an arithmetic number, because the mean of its divisors is an integer number (301235280).

Almost surely, 2^2256753407 is an apocalyptic number.

2256753407 is a deficient number, since it is larger than the sum of its proper divisors (153128833).

2256753407 is a wasteful number, since it uses less digits than its factorization.

2256753407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510353.

The product of its (nonzero) digits is 352800, while the sum is 41.

The square root of 2256753407 is about 47505.2987255106. The cubic root of 2256753407 is about 1311.6804196881.

The spelling of 2256753407 in words is "two billion, two hundred fifty-six million, seven hundred fifty-three thousand, four hundred seven".