2667167271191 has 16 divisors (see below), whose sum is σ = 2851702905600. Its totient is φ = 2485822711680.

The previous prime is 2667167271187. The next prime is 2667167271217. The reversal of 2667167271191 is 1911727617662.

It is a cyclic number.

It is not a de Polignac number, because 2667167271191 - 2² = 2667167271187 is a prime.

It is a super-3 number, since 3×2667167271191³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667167871191) 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, 1154441 + ... + 2582066.

It is an arithmetic number, because the mean of its divisors is an integer number (178231431600).

Almost surely, 2^{2667167271191} is an apocalyptic number.

2667167271191 is a deficient number, since it is larger than the sum of its proper divisors (184535634409).

2667167271191 is a wasteful number, since it uses less digits than its factorization.

2667167271191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736934.

The product of its digits is 2667168, while the sum is 56.

The spelling of 2667167271191 in words is "two trillion, six hundred sixty-seven billion, one hundred sixty-seven million, two hundred seventy-one thousand, one hundred ninety-one".