2667167271249 has 32 divisors (see below), whose sum is σ = 3933744460800. Its totient is φ = 1597067212608.

The previous prime is 2667167271229. The next prime is 2667167271289. The reversal of 2667167271249 is 9421727617662.

It is not a de Polignac number, because 2667167271249 - 2⁵ = 2667167271217 is a prime.

It is a super-3 number, since 3×2667167271249³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2667167271192 and 2667167271201.

It is not an unprimeable number, because it can be changed into a prime (2667167271229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2582599 + ... + 3464700.

It is an arithmetic number, because the mean of its divisors is an integer number (122929514400).

Almost surely, 2^{2667167271249} is an apocalyptic number.

It is an amenable number.

2667167271249 is a deficient number, since it is larger than the sum of its proper divisors (1266577189551).

2667167271249 is a wasteful number, since it uses less digits than its factorization.

2667167271249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6047621.

The product of its digits is 21337344, while the sum is 60.

The spelling of 2667167271249 in words is "two trillion, six hundred sixty-seven billion, one hundred sixty-seven million, two hundred seventy-one thousand, two hundred forty-nine".