2211161967 has 48 divisors (see below), whose sum is σ = 3872074752. Its totient is φ = 1186986240.

The previous prime is 2211161963. The next prime is 2211162071. The reversal of 2211161967 is 7691611122.

2211161967 is a `hidden beast` number, since 2 + 21 + 11 + 619 + 6 + 7 = 666.

It is not a de Polignac number, because 2211161967 - 2² = 2211161963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211161963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691342 + ... + 694532.

It is an arithmetic number, because the mean of its divisors is an integer number (80668224).

Almost surely, 2^2211161967 is an apocalyptic number.

2211161967 is a deficient number, since it is larger than the sum of its proper divisors (1660912785).

2211161967 is a wasteful number, since it uses less digits than its factorization.

2211161967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868 (or 3865 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 2211161967 is about 47022.9940242005. The cubic root of 2211161967 is about 1302.7873068904.

The spelling of 2211161967 in words is "two billion, two hundred eleven million, one hundred sixty-one thousand, nine hundred sixty-seven".