2142233204300 has 288 divisors, whose sum is σ = 5876353889280. Its totient is φ = 660484915200.

The previous prime is 2142233204281. The next prime is 2142233204311. The reversal of 2142233204300 is 34023322412.

It is a self number, because there is not a number n which added to its sum of digits gives 2142233204300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278896460 + ... + 278904140.

It is an arithmetic number, because the mean of its divisors is an integer number (20404006560).

Almost surely, 2^{2142233204300} is an apocalyptic number.

2142233204300 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 2142233204300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938176944640).

2142233204300 is an abundant number, since it is smaller than the sum of its proper divisors (3734120684980).

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

2142233204300 is a wasteful number, since it uses less digits than its factorization.

2142233204300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8761 (or 8754 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 2142233204300 its reverse (34023322412), we get a palindrome (2176256526712).

The spelling of 2142233204300 in words is "two trillion, one hundred forty-two billion, two hundred thirty-three million, two hundred four thousand, three hundred".