2024133301140 has 96 divisors (see below), whose sum is σ = 5734701624960. Its totient is φ = 533392613376.

The previous prime is 2024133301109. The next prime is 2024133301147. The reversal of 2024133301140 is 411033314202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2024133301140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024133301147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3571504 + ... + 4099256.

It is an arithmetic number, because the mean of its divisors is an integer number (59736475260).

Almost surely, 2^{2024133301140} is an apocalyptic number.

2024133301140 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 2024133301140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867350812480).

2024133301140 is an abundant number, since it is smaller than the sum of its proper divisors (3710568323820).

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

2024133301140 is a wasteful number, since it uses less digits than its factorization.

2024133301140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528521 (or 528519 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2024133301140 its reverse (411033314202), we get a palindrome (2435166615342).

The spelling of 2024133301140 in words is "two trillion, twenty-four billion, one hundred thirty-three million, three hundred one thousand, one hundred forty".