2430234240 has 256 divisors, whose sum is σ = 8977893120. Its totient is φ = 547651584.

The previous prime is 2430234239. The next prime is 2430234241. The reversal of 2430234240 is 424320342.

It is an interprime number because it is at equal distance from previous prime (2430234239) and next prime (2430234241).

It is a super-2 number, since 2×2430234240² = 11812076922536755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2430234240.

It is not an unprimeable number, because it can be changed into a prime (2430234241) 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 31 ways as a sum of consecutive naturals, for example, 979882 + ... + 982358.

It is an arithmetic number, because the mean of its divisors is an integer number (35069895).

Almost surely, 2^2430234240 is an apocalyptic number.

2430234240 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 2430234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488946560).

2430234240 is an abundant number, since it is smaller than the sum of its proper divisors (6547658880).

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

2430234240 is a wasteful number, since it uses less digits than its factorization.

2430234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2430234240 is about 49297.4060169498. The cubic root of 2430234240 is about 1344.4646211079.

Adding to 2430234240 its reverse (424320342), we get a palindrome (2854554582).

The spelling of 2430234240 in words is "two billion, four hundred thirty million, two hundred thirty-four thousand, two hundred forty".