2164688441 has 16 divisors (see below), whose sum is σ = 2306356800. Its totient is φ = 2027809728.

The previous prime is 2164688419. The next prime is 2164688467. The reversal of 2164688441 is 1448864612.

It is a cyclic number.

It is not a de Polignac number, because 2164688441 - 2²² = 2160494137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2164688392 and 2164688401.

It is not an unprimeable number, because it can be changed into a prime (2164688341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404006 + ... + 409328.

It is an arithmetic number, because the mean of its divisors is an integer number (144147300).

Almost surely, 2^2164688441 is an apocalyptic number.

It is an amenable number.

2164688441 is a deficient number, since it is larger than the sum of its proper divisors (141668359).

2164688441 is a wasteful number, since it uses less digits than its factorization.

2164688441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768.

The product of its digits is 294912, while the sum is 44.

The square root of 2164688441 is about 46526.2124076310. The cubic root of 2164688441 is about 1293.5954103573.

The spelling of 2164688441 in words is "two billion, one hundred sixty-four million, six hundred eighty-eight thousand, four hundred forty-one".