2301140342200 has 288 divisors, whose sum is σ = 6750487628640. Its totient is φ = 724439654400.

The previous prime is 2301140342173. The next prime is 2301140342203. The reversal of 2301140342200 is 22430411032.

2301140342200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301140342203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6662157 + ... + 6999043.

It is an arithmetic number, because the mean of its divisors is an integer number (23439193155).

Almost surely, 2^{2301140342200} is an apocalyptic number.

2301140342200 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 2301140342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375243814320).

2301140342200 is an abundant number, since it is smaller than the sum of its proper divisors (4449347286440).

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

2301140342200 is a wasteful number, since it uses less digits than its factorization.

2301140342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336975 (or 336959 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2301140342200 its reverse (22430411032), we get a palindrome (2323570753232).

The spelling of 2301140342200 in words is "two trillion, three hundred one billion, one hundred forty million, three hundred forty-two thousand, two hundred".