2165340213 has 6 divisors (see below), whose sum is σ = 3127713654. Its totient is φ = 1443560136.

The previous prime is 2165340209. The next prime is 2165340217. The reversal of 2165340213 is 3120435612.

2165340213 is a `hidden beast` number, since 2 + 1 + 653 + 4 + 0 + 2 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (2165340209) and next prime (2165340217).

It can be written as a sum of positive squares in only one way, i.e., 1267858449 + 897481764 = 35607^2 + 29958^2 .

It is not a de Polignac number, because 2165340213 - 2² = 2165340209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165340217) 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 5 ways as a sum of consecutive naturals, for example, 120296670 + ... + 120296687.

It is an arithmetic number, because the mean of its divisors is an integer number (521285609).

Almost surely, 2^2165340213 is an apocalyptic number.

It is an amenable number.

2165340213 is a deficient number, since it is larger than the sum of its proper divisors (962373441).

2165340213 is a wasteful number, since it uses less digits than its factorization.

2165340213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240593363 (or 240593360 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2165340213 is about 46533.2162331382. The cubic root of 2165340213 is about 1293.7252280631.

Adding to 2165340213 its reverse (3120435612), we get a palindrome (5285775825).

It can be divided in two parts, 2165 and 340213, that added together give a triangular number (342378 = T₈₂₇).

The spelling of 2165340213 in words is "two billion, one hundred sixty-five million, three hundred forty thousand, two hundred thirteen".