2123164345 has 32 divisors (see below), whose sum is σ = 2647966464. Its totient is φ = 1633228800.

The previous prime is 2123164297. The next prime is 2123164349. The reversal of 2123164345 is 5434613212.

It is not a de Polignac number, because 2123164345 - 2⁷ = 2123164217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2123164349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6826740 + ... + 6827050.

It is an arithmetic number, because the mean of its divisors is an integer number (82748952).

Almost surely, 2^2123164345 is an apocalyptic number.

It is an amenable number.

2123164345 is a deficient number, since it is larger than the sum of its proper divisors (524802119).

2123164345 is a wasteful number, since it uses less digits than its factorization.

2123164345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753.

The product of its digits is 17280, while the sum is 31.

The square root of 2123164345 is about 46077.8075107746. The cubic root of 2123164345 is about 1285.2704937086.

Adding to 2123164345 its reverse (5434613212), we get a palindrome (7557777557).

The spelling of 2123164345 in words is "two billion, one hundred twenty-three million, one hundred sixty-four thousand, three hundred forty-five".