24120420030 has 192 divisors, whose sum is σ = 74960873280. Its totient is φ = 5503051008.

The previous prime is 24120420011. The next prime is 24120420053. The reversal of 24120420030 is 3002402142.

24120420030 is a `hidden beast` number, since 241 + 2 + 0 + 420 + 0 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 24120419985 and 24120420012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8955364 + ... + 8958056.

It is an arithmetic number, because the mean of its divisors is an integer number (390421215).

Almost surely, 2^24120420030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24120420030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37480436640).

24120420030 is an abundant number, since it is smaller than the sum of its proper divisors (50840453250).

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

24120420030 is a wasteful number, since it uses less digits than its factorization.

24120420030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 24120420030 its reverse (3002402142), we get a palindrome (27122822172).

The spelling of 24120420030 in words is "twenty-four billion, one hundred twenty million, four hundred twenty thousand, thirty".