2251966311 has 24 divisors (see below), whose sum is σ = 3718784160. Its totient is φ = 1286404416.

The previous prime is 2251966309. The next prime is 2251966331. The reversal of 2251966311 is 1136691522.

2251966311 is a `hidden beast` number, since 2 + 2 + 5 + 19 + 6 + 631 + 1 = 666.

2251966311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2251966311 - 2¹ = 2251966309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251966331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331101 + ... + 337833.

It is an arithmetic number, because the mean of its divisors is an integer number (154949340).

Almost surely, 2^2251966311 is an apocalyptic number.

2251966311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2251966311 is a deficient number, since it is larger than the sum of its proper divisors (1466817849).

2251966311 is a wasteful number, since it uses less digits than its factorization.

2251966311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12055 (or 12052 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 2251966311 is about 47454.8871139738. The cubic root of 2251966311 is about 1310.7523039346.

The spelling of 2251966311 in words is "two billion, two hundred fifty-one million, nine hundred sixty-six thousand, three hundred eleven".