2034200030200 has 192 divisors, whose sum is σ = 5126668747200. Its totient is φ = 746180812800.

The previous prime is 2034200030189. The next prime is 2034200030201. The reversal of 2034200030200 is 20300024302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034200030201) 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, 700721949 + ... + 700724851.

It is an arithmetic number, because the mean of its divisors is an integer number (26701399725).

Almost surely, 2^{2034200030200} is an apocalyptic number.

2034200030200 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 2034200030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563334373600).

2034200030200 is an abundant number, since it is smaller than the sum of its proper divisors (3092468717000).

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

2034200030200 is a wasteful number, since it uses less digits than its factorization.

2034200030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4602 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 2034200030200 its reverse (20300024302), we get a palindrome (2054500054502).

The spelling of 2034200030200 in words is "two trillion, thirty-four billion, two hundred million, thirty thousand, two hundred".