2164406644029 has 32 divisors (see below), whose sum is σ = 3333099168000. Its totient is φ = 1223702710272.

The previous prime is 2164406643979. The next prime is 2164406644033. The reversal of 2164406644029 is 9204466044612.

It is a happy number.

It is not a de Polignac number, because 2164406644029 - 2⁹ = 2164406643517 is a prime.

It is a super-2 number, since 2×2164406644029² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164406644229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7046347 + ... + 7347095.

It is an arithmetic number, because the mean of its divisors is an integer number (104159349000).

Almost surely, 2^{2164406644029} is an apocalyptic number.

It is an amenable number.

2164406644029 is a deficient number, since it is larger than the sum of its proper divisors (1168692523971).

2164406644029 is a wasteful number, since it uses less digits than its factorization.

2164406644029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304389.

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 2164406644029 in words is "two trillion, one hundred sixty-four billion, four hundred six million, six hundred forty-four thousand, twenty-nine".