2256338511 has 20 divisors (see below), whose sum is σ = 3852092112. Its totient is φ = 1289335968.

The previous prime is 2256338509. The next prime is 2256338519. The reversal of 2256338511 is 1158336522.

2256338511 is a `hidden beast` number, since 2 + 2 + 5 + 633 + 8 + 5 + 11 = 666.

It is not a de Polignac number, because 2256338511 - 2¹ = 2256338509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256338519) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1989150 + ... + 1990283.

Almost surely, 2^2256338511 is an apocalyptic number.

2256338511 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2256338511 is a deficient number, since it is larger than the sum of its proper divisors (1595753601).

2256338511 is an equidigital number, since it uses as much as digits as its factorization.

2256338511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979452 (or 3979443 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 2256338511 is about 47500.9316855996. The cubic root of 2256338511 is about 1311.6000321852.

The spelling of 2256338511 in words is "two billion, two hundred fifty-six million, three hundred thirty-eight thousand, five hundred eleven".