2320423200 has 180 divisors, whose sum is σ = 8462368530. Its totient is φ = 618762240.

The previous prime is 2320423163. The next prime is 2320423201. The reversal of 2320423200 is 23240232.

2320423200 is a `hidden beast` number, since 23 + 20 + 423 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1722914064 + 597509136 = 41508^2 + 24444^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-4 number, since 4×2320423200⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2320423201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 46896 + ... + 82704.

Almost surely, 2^2320423200 is an apocalyptic number.

2320423200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231184265).

2320423200 is an abundant number, since it is smaller than the sum of its proper divisors (6141945330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2320423200 is a wasteful number, since it uses less digits than its factorization.

2320423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35841 (or 35819 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2320423200 is about 48170.7712207309. The cubic root of 2320423200 is about 1323.9016791262.

Adding to 2320423200 its reverse (23240232), we get a palindrome (2343663432).

The spelling of 2320423200 in words is "two billion, three hundred twenty million, four hundred twenty-three thousand, two hundred".