2024120224 has 144 divisors (see below), whose sum is σ = 4814238240. Its totient is φ = 834624000.

The previous prime is 2024120207. The next prime is 2024120227. The reversal of 2024120224 is 4220214202.

It is not an unprimeable number, because it can be changed into a prime (2024120227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8064099 + ... + 8064349.

It is an arithmetic number, because the mean of its divisors is an integer number (33432210).

Almost surely, 2^2024120224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407119120).

2024120224 is an abundant number, since it is smaller than the sum of its proper divisors (2790118016).

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

2024120224 is a wasteful number, since it uses less digits than its factorization.

2024120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2024120224 is about 44990.2236491440. The cubic root of 2024120224 is about 1264.9657536803.

Adding to 2024120224 its reverse (4220214202), we get a palindrome (6244334426).

The spelling of 2024120224 in words is "two billion, twenty-four million, one hundred twenty thousand, two hundred twenty-four".