2164791993 has 64 divisors (see below), whose sum is σ = 3742126080. Its totient is φ = 1081859328.

The previous prime is 2164791989. The next prime is 2164791997. The reversal of 2164791993 is 3991974612.

It is an interprime number because it is at equal distance from previous prime (2164791989) and next prime (2164791997).

It is not a de Polignac number, because 2164791993 - 2² = 2164791989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2164791997) 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 63 ways as a sum of consecutive naturals, for example, 682830 + ... + 685992.

It is an arithmetic number, because the mean of its divisors is an integer number (58470720).

Almost surely, 2^2164791993 is an apocalyptic number.

2164791993 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2164791993 is a deficient number, since it is larger than the sum of its proper divisors (1577334087).

2164791993 is a wasteful number, since it uses less digits than its factorization.

2164791993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318.

The product of its digits is 734832, while the sum is 51.

The square root of 2164791993 is about 46527.3252293746. The cubic root of 2164791993 is about 1293.6160372295.

The spelling of 2164791993 in words is "two billion, one hundred sixty-four million, seven hundred ninety-one thousand, nine hundred ninety-three".