2330224340 has 72 divisors (see below), whose sum is σ = 5325583032. Its totient is φ = 855777280.

The previous prime is 2330224333. The next prime is 2330224349. The reversal of 2330224340 is 434220332.

It can be written as a sum of positive squares in 12 ways, for example, as 422631364 + 1907592976 = 20558^2 + 43676^2 .

It is a super-3 number, since 3×2330224340³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330224349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232064 + ... + 241896.

It is an arithmetic number, because the mean of its divisors is an integer number (73966431).

Almost surely, 2^2330224340 is an apocalyptic number.

2330224340 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 2330224340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662791516).

2330224340 is an abundant number, since it is smaller than the sum of its proper divisors (2995358692).

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

2330224340 is a wasteful number, since it uses less digits than its factorization.

2330224340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9917 (or 9898 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 2330224340 is about 48272.3972887198. The cubic root of 2330224340 is about 1325.7630521168.

Adding to 2330224340 its reverse (434220332), we get a palindrome (2764444672).

The spelling of 2330224340 in words is "two billion, three hundred thirty million, two hundred twenty-four thousand, three hundred forty".