24229730340 has 96 divisors (see below), whose sum is σ = 75410496000. Its totient is φ = 6458766336.

The previous prime is 24229730339. The next prime is 24229730341. The reversal of 24229730340 is 4303792242.

It is a happy number.

24229730340 is a `hidden beast` number, since 24 + 2 + 297 + 3 + 0 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (24229730339) and next prime (24229730341).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 24229730295 and 24229730304.

It is not an unprimeable number, because it can be changed into a prime (24229730341) 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, 1704181 + ... + 1718339.

It is an arithmetic number, because the mean of its divisors is an integer number (785526000).

Almost surely, 2^24229730340 is an apocalyptic number.

24229730340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24229730340 is an abundant number, since it is smaller than the sum of its proper divisors (51180765660).

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

24229730340 is a wasteful number, since it uses less digits than its factorization.

24229730340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17346 (or 17338 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 24229730340 in words is "twenty-four billion, two hundred twenty-nine million, seven hundred thirty thousand, three hundred forty".