2430224040 has 64 divisors (see below), whose sum is σ = 7315660800. Its totient is φ = 645838592.

The previous prime is 2430224039. The next prime is 2430224057. The reversal of 2430224040 is 404220342.

It is a junction number, because it is equal to n+sod(n) for n = 2430223998 and 2430224016.

It is an unprimeable number.

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, 601 + ... + 69719.

It is an arithmetic number, because the mean of its divisors is an integer number (114307200).

Almost surely, 2^2430224040 is an apocalyptic number.

2430224040 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 2430224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657830400).

2430224040 is an abundant number, since it is smaller than the sum of its proper divisors (4885436760).

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

2430224040 is a wasteful number, since it uses less digits than its factorization.

2430224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69426 (or 69422 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2430224040 is about 49297.3025631221. The cubic root of 2430224040 is about 1344.4627401427.

Adding to 2430224040 its reverse (404220342), we get a palindrome (2834444382).

The spelling of 2430224040 in words is "two billion, four hundred thirty million, two hundred twenty-four thousand, forty".