2005301224300 has 144 divisors (see below), whose sum is σ = 4998011356800. Its totient is φ = 690673651200.

The previous prime is 2005301224271. The next prime is 2005301224301. The reversal of 2005301224300 is 34221035002.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2005301224301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150327031 + ... + 150340369.

It is an arithmetic number, because the mean of its divisors is an integer number (34708412200).

Almost surely, 2^{2005301224300} is an apocalyptic number.

2005301224300 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 2005301224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499005678400).

2005301224300 is an abundant number, since it is smaller than the sum of its proper divisors (2992710132500).

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

2005301224300 is a wasteful number, since it uses less digits than its factorization.

2005301224300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20576 (or 20569 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 2005301224300 its reverse (34221035002), we get a palindrome (2039522259302).

The spelling of 2005301224300 in words is "two trillion, five billion, three hundred one million, two hundred twenty-four thousand, three hundred".