2166274717929 has 81 divisors (see below), whose sum is σ = 3679353369783. Its totient is φ = 1224607162464.

The previous prime is 2166274717907. The next prime is 2166274717931. The reversal of 2166274717929 is 9297174726612.

The square root of 2166274717929 is 1471827.

It is a perfect power (a square), and thus also a powerful number.

2166274717929 is a `hidden beast` number, since 2 + 16 + 62 + 7 + 471 + 7 + 92 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1509883085529 + 656391632400 = 1228773^2 + 810180^2 .

It is not a de Polignac number, because 2166274717929 - 2²³ = 2166266329321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2166274713929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3369011682 + ... + 3369012324.

Almost surely, 2^{2166274717929} is an apocalyptic number.

2166274717929 is the 1471827-th square number.

2166274717929 is the 735914-th centered octagonal number.

It is an amenable number.

2166274717929 is a deficient number, since it is larger than the sum of its proper divisors (1513078651854).

2166274717929 is an frugal number, since it uses more digits than its factorization.

2166274717929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 762 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The spelling of 2166274717929 in words is "two trillion, one hundred sixty-six billion, two hundred seventy-four million, seven hundred seventeen thousand, nine hundred twenty-nine".