24242424420 has 96 divisors (see below), whose sum is σ = 70014043008. Its totient is φ = 6262797312.

The previous prime is 24242424317. The next prime is 24242424431. The reversal of 24242424420 is 2442424242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493827 + ... + 540693.

It is an arithmetic number, because the mean of its divisors is an integer number (729312948).

Almost surely, 2^24242424420 is an apocalyptic number.

24242424420 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 24242424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35007021504).

24242424420 is an abundant number, since it is smaller than the sum of its proper divisors (45771618588).

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

24242424420 is a wasteful number, since it uses less digits than its factorization.

24242424420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47149 (or 47147 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 24242424420 its reverse (2442424242), we get a palindrome (26684848662).

The spelling of 24242424420 in words is "twenty-four billion, two hundred forty-two million, four hundred twenty-four thousand, four hundred twenty".