2261172711 has 16 divisors (see below), whose sum is σ = 3595405824. Its totient is φ = 1235920224.

The previous prime is 2261172707. The next prime is 2261172733. The reversal of 2261172711 is 1172711622.

2261172711 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 not a de Polignac number, because 2261172711 - 2² = 2261172707 is a prime.

It is a super-2 number, since 2×2261172711² = 10225804057942179042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261172611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2340276 + ... + 2341241.

It is an arithmetic number, because the mean of its divisors is an integer number (224712864).

Almost surely, 2^2261172711 is an apocalyptic number.

2261172711 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2261172711 is a deficient number, since it is larger than the sum of its proper divisors (1334233113).

2261172711 is a wasteful number, since it uses less digits than its factorization.

2261172711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4681550.

The product of its digits is 2352, while the sum is 30.

The square root of 2261172711 is about 47551.7897770420. The cubic root of 2261172711 is about 1312.5360640249.

The spelling of 2261172711 in words is "two billion, two hundred sixty-one million, one hundred seventy-two thousand, seven hundred eleven".