2164233409 has 16 divisors (see below), whose sum is σ = 2371457872. Its totient is φ = 1963035648.

The previous prime is 2164233403. The next prime is 2164233419. The reversal of 2164233409 is 9043324612.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 506115009 + 1658118400 = 22497^2 + 40720^2 .

It is a cyclic number.

It is not a de Polignac number, because 2164233409 - 2¹⁵ = 2164200641 is a prime.

It is a super-2 number, since 2×2164233409² = 9367812497263522562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2164233403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258757 + ... + 266989.

It is an arithmetic number, because the mean of its divisors is an integer number (148216117).

Almost surely, 2^2164233409 is an apocalyptic number.

It is an amenable number.

2164233409 is a deficient number, since it is larger than the sum of its proper divisors (207224463).

2164233409 is a wasteful number, since it uses less digits than its factorization.

2164233409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8596.

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 2164233409 is about 46521.3220899836. The cubic root of 2164233409 is about 1293.5047632007.

The spelling of 2164233409 in words is "two billion, one hundred sixty-four million, two hundred thirty-three thousand, four hundred nine".