2024420244000 has 768 divisors, whose sum is σ = 8303690723328. Its totient is φ = 418867200000.

The previous prime is 2024420243983. The next prime is 2024420244029. The reversal of 2024420244000 is 4420244202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 222679455 + ... + 222688545.

It is an arithmetic number, because the mean of its divisors is an integer number (10812097296).

Almost surely, 2^{2024420244000} is an apocalyptic number.

2024420244000 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 2024420244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151845361664).

2024420244000 is an abundant number, since it is smaller than the sum of its proper divisors (6279270479328).

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

2024420244000 is a wasteful number, since it uses less digits than its factorization.

2024420244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9378 (or 9360 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2024420244000 its reverse (4420244202), we get a palindrome (2028840488202).

It can be divided in two parts, 20244202 and 44000, that added together give a palindrome (20288202).

The spelling of 2024420244000 in words is "two trillion, twenty-four billion, four hundred twenty million, two hundred forty-four thousand".