2167611971 has 12 divisors (see below), whose sum is σ = 2529009288. Its totient is φ = 1852425792.

The previous prime is 2167611947. The next prime is 2167612001. The reversal of 2167611971 is 1791167612.

It is a de Polignac number, because none of the positive numbers 2^k-2167611971 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2167613971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49121 + ... + 82146.

It is an arithmetic number, because the mean of its divisors is an integer number (210750774).

Almost surely, 2^2167611971 is an apocalyptic number.

2167611971 is a deficient number, since it is larger than the sum of its proper divisors (361397317).

2167611971 is a wasteful number, since it uses less digits than its factorization.

2167611971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131618 (or 131611 counting only the distinct ones).

The product of its digits is 31752, while the sum is 41.

The square root of 2167611971 is about 46557.6199026540. The cubic root of 2167611971 is about 1294.1775054764.

The spelling of 2167611971 in words is "two billion, one hundred sixty-seven million, six hundred eleven thousand, nine hundred seventy-one".