2217166641 has 16 divisors (see below), whose sum is σ = 3301372800. Its totient is φ = 1470604464.

The previous prime is 2217166603. The next prime is 2217166681. The reversal of 2217166641 is 1466617122.

It is not a de Polignac number, because 2217166641 - 2¹⁰ = 2217165617 is a prime.

It is a super-3 number, since 3×2217166641³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2217166596 and 2217166605.

It is not an unprimeable number, because it can be changed into a prime (2217166681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203101 + ... + 213738.

It is an arithmetic number, because the mean of its divisors is an integer number (206335800).

Almost surely, 2^2217166641 is an apocalyptic number.

It is an amenable number.

2217166641 is a deficient number, since it is larger than the sum of its proper divisors (1084206159).

2217166641 is a wasteful number, since it uses less digits than its factorization.

2217166641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417045 (or 417039 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2217166641 is about 47086.7990099136. The cubic root of 2217166641 is about 1303.9655324251.

The spelling of 2217166641 in words is "two billion, two hundred seventeen million, one hundred sixty-six thousand, six hundred forty-one".