24024145000 has 160 divisors (see below), whose sum is σ = 60169645800. Its totient is φ = 8957952000.

The previous prime is 24024144971. The next prime is 24024145001. The reversal of 24024145000 is 54142042.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 3226467204 + 20797677796 = 56802^2 + 144214^2 .

It is not an unprimeable number, because it can be changed into a prime (24024145001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9263704 + ... + 9266296.

Almost surely, 2^24024145000 is an apocalyptic number.

24024145000 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 24024145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30084822900).

24024145000 is an abundant number, since it is smaller than the sum of its proper divisors (36145500800).

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

24024145000 is a wasteful number, since it uses less digits than its factorization.

24024145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 24024145000 its reverse (54142042), we get a palindrome (24078287042).

The spelling of 24024145000 in words is "twenty-four billion, twenty-four million, one hundred forty-five thousand".