2667663521631 has 80 divisors (see below), whose sum is σ = 4057143552000. Its totient is φ = 1746549076032.

The previous prime is 2667663521609. The next prime is 2667663521657. The reversal of 2667663521631 is 1361253667662.

2667663521631 is a `hidden beast` number, since 2 + 66 + 76 + 6 + 352 + 163 + 1 = 666.

It is not a de Polignac number, because 2667663521631 - 2¹⁰ = 2667663520607 is a prime.

It is a super-2 number, since 2×2667663521631² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667663521681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 842329810 + ... + 842332976.

It is an arithmetic number, because the mean of its divisors is an integer number (50714294400).

Almost surely, 2^{2667663521631} is an apocalyptic number.

2667663521631 is a deficient number, since it is larger than the sum of its proper divisors (1389480030369).

2667663521631 is a wasteful number, since it uses less digits than its factorization.

2667663521631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970 (or 3961 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 2667663521631 in words is "two trillion, six hundred sixty-seven billion, six hundred sixty-three million, five hundred twenty-one thousand, six hundred thirty-one".