2256761199 has 72 divisors (see below), whose sum is σ = 3903790464. Its totient is φ = 1155184800.

The previous prime is 2256761191. The next prime is 2256761207. The reversal of 2256761199 is 9911676522.

2256761199 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2256761191) and next prime (2256761207).

It is not a de Polignac number, because 2256761199 - 2³ = 2256761191 is a prime.

It is a super-2 number, since 2×2256761199² = 10185942218623835202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256761191) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1261984 + ... + 1263770.

It is an arithmetic number, because the mean of its divisors is an integer number (54219312).

Almost surely, 2^2256761199 is an apocalyptic number.

2256761199 is a deficient number, since it is larger than the sum of its proper divisors (1647029265).

2256761199 is a wasteful number, since it uses less digits than its factorization.

2256761199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1879 counting only the distinct ones).

The product of its digits is 408240, while the sum is 48.

The square root of 2256761199 is about 47505.3807373438. The cubic root of 2256761199 is about 1311.6819293202.

The spelling of 2256761199 in words is "two billion, two hundred fifty-six million, seven hundred sixty-one thousand, one hundred ninety-nine".