2667167271201 has 16 divisors (see below), whose sum is σ = 3562713498240. Its totient is φ = 1774869131520.

The previous prime is 2667167271187. The next prime is 2667167271217. The reversal of 2667167271201 is 1021727617662.

It is not a de Polignac number, because 2667167271201 - 2⁷ = 2667167271073 is a prime.

It is a super-2 number, since 2×2667167271201² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2667167281201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3396871 + ... + 4107683.

It is an arithmetic number, because the mean of its divisors is an integer number (222669593640).

Almost surely, 2^{2667167271201} is an apocalyptic number.

It is an amenable number.

2667167271201 is a deficient number, since it is larger than the sum of its proper divisors (895546227039).

2667167271201 is a wasteful number, since it uses less digits than its factorization.

2667167271201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713096.

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 2667167271201 in words is "two trillion, six hundred sixty-seven billion, one hundred sixty-seven million, two hundred seventy-one thousand, two hundred one".