2023005224000 has 112 divisors (see below), whose sum is σ = 5016502611120. Its totient is φ = 808147353600.

The previous prime is 2023005223969. The next prime is 2023005224039. The reversal of 2023005224000 is 4225003202.

It can be written as a sum of positive squares in 8 ways, for example, as 722894453824 + 1300110770176 = 850232^2 + 1140224^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5987582 + ... + 6316418.

It is an arithmetic number, because the mean of its divisors is an integer number (44790201885).

Almost surely, 2^{2023005224000} is an apocalyptic number.

2023005224000 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 2023005224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508251305560).

2023005224000 is an abundant number, since it is smaller than the sum of its proper divisors (2993497387120).

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

2023005224000 is an equidigital number, since it uses as much as digits as its factorization.

2023005224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329633 (or 329613 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The spelling of 2023005224000 in words is "two trillion, twenty-three billion, five million, two hundred twenty-four thousand".