24242412420 has 288 divisors, whose sum is σ = 79347340800. Its totient is φ = 5990040576.

The previous prime is 24242412343. The next prime is 24242412431. The reversal of 24242412420 is 2421424242.

24242412420 is a `hidden beast` number, since 2 + 4 + 242 + 412 + 4 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69862687 + ... + 69863033.

It is an arithmetic number, because the mean of its divisors is an integer number (275511600).

Almost surely, 2^24242412420 is an apocalyptic number.

24242412420 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 24242412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39673670400).

24242412420 is an abundant number, since it is smaller than the sum of its proper divisors (55104928380).

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

24242412420 is a wasteful number, since it uses less digits than its factorization.

24242412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 24242412420 its reverse (2421424242), we get a palindrome (26663836662).

The spelling of 24242412420 in words is "twenty-four billion, two hundred forty-two million, four hundred twelve thousand, four hundred twenty".