2230431040 has 112 divisors (see below), whose sum is σ = 5483455632. Its totient is φ = 863502336.

The previous prime is 2230431031. The next prime is 2230431043. The reversal of 2230431040 is 401340322.

It can be written as a sum of positive squares in 8 ways, for example, as 1160356096 + 1070074944 = 34064^2 + 32712^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2230430999 and 2230431017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230431043) 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 15 ways as a sum of consecutive naturals, for example, 3042514 + ... + 3043246.

Almost surely, 2^2230431040 is an apocalyptic number.

2230431040 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 2230431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741727816).

2230431040 is an abundant number, since it is smaller than the sum of its proper divisors (3253024592).

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

2230431040 is a wasteful number, since it uses less digits than its factorization.

2230431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2230431040 is about 47227.4394817250. The cubic root of 2230431040 is about 1306.5607276784.

Adding to 2230431040 its reverse (401340322), we get a palindrome (2631771362).

The spelling of 2230431040 in words is "two billion, two hundred thirty million, four hundred thirty-one thousand, forty".