2271256506 has 24 divisors (see below), whose sum is σ = 4942185300. Its totient is φ = 753834816.

The previous prime is 2271256501. The next prime is 2271256511. The reversal of 2271256506 is 6056521722.

2271256506 is a `hidden beast` number, since 2 + 27 + 125 + 6 + 506 = 666.

It is an interprime number because it is at equal distance from previous prime (2271256501) and next prime (2271256511).

It can be written as a sum of positive squares in 2 ways, for example, as 2245338225 + 25918281 = 47385^2 + 5091^2 .

It is a super-2 number, since 2×2271256506² = 10317212232094656072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2271256501) 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 11 ways as a sum of consecutive naturals, for example, 266581 + ... + 274968.

Almost surely, 2^2271256506 is an apocalyptic number.

2271256506 is an abundant number, since it is smaller than the sum of its proper divisors (2670928794).

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

2271256506 is a wasteful number, since it uses less digits than its factorization.

2271256506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541790 (or 541787 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2271256506 is about 47657.7014342908. The cubic root of 2271256506 is about 1314.4842741446.

The spelling of 2271256506 in words is "two billion, two hundred seventy-one million, two hundred fifty-six thousand, five hundred six".