2667167271216 has 80 divisors (see below), whose sum is σ = 8749437619200. Its totient is φ = 762047790912.

The previous prime is 2667167271187. The next prime is 2667167271217. The reversal of 2667167271216 is 6121727617662.

2667167271216 is a `hidden beast` number, since 266 + 7 + 167 + 2 + 7 + 1 + 216 = 666.

It is a super-2 number, since 2×2667167271216² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2667167271217) 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, 440996856 + ... + 441002903.

It is an arithmetic number, because the mean of its divisors is an integer number (109367970240).

Almost surely, 2^{2667167271216} is an apocalyptic number.

It is an amenable number.

2667167271216 is an abundant number, since it is smaller than the sum of its proper divisors (6082270347984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2667167271216 is a wasteful number, since it uses less digits than its factorization.

2667167271216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881999783 (or 881999771 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 2667167271216 in words is "two trillion, six hundred sixty-seven billion, one hundred sixty-seven million, two hundred seventy-one thousand, two hundred sixteen".