24242220144 has 120 divisors (see below), whose sum is σ = 69112630080. Its totient is φ = 7931049984.

The previous prime is 24242220139. The next prime is 24242220169. The reversal of 24242220144 is 44102224242.

24242220144 is a `hidden beast` number, since 2 + 424 + 2 + 220 + 14 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1748889 + ... + 1762695.

It is an arithmetic number, because the mean of its divisors is an integer number (575938584).

Almost surely, 2^24242220144 is an apocalyptic number.

24242220144 is a gapful number since it is divisible by the number (24) 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 24242220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34556315040).

24242220144 is an abundant number, since it is smaller than the sum of its proper divisors (44870409936).

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

24242220144 is a wasteful number, since it uses less digits than its factorization.

24242220144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14047 (or 14038 counting only the distinct ones).

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

Adding to 24242220144 its reverse (44102224242), we get a palindrome (68344444386).

The spelling of 24242220144 in words is "twenty-four billion, two hundred forty-two million, two hundred twenty thousand, one hundred forty-four".