2166542768409 has 32 divisors (see below), whose sum is σ = 3072596115456. Its totient is φ = 1356052098240.

The previous prime is 2166542768347. The next prime is 2166542768413. The reversal of 2166542768409 is 9048672456612.

It is a happy number.

It is not a de Polignac number, because 2166542768409 - 2⁹ = 2166542767897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2166542768419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2554137 + ... + 3294950.

It is an arithmetic number, because the mean of its divisors is an integer number (96018628608).

Almost surely, 2^{2166542768409} is an apocalyptic number.

It is an amenable number.

2166542768409 is a deficient number, since it is larger than the sum of its proper divisors (906053347047).

2166542768409 is a wasteful number, since it uses less digits than its factorization.

2166542768409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5849245.

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 2166542768409 in words is "two trillion, one hundred sixty-six billion, five hundred forty-two million, seven hundred sixty-eight thousand, four hundred nine".