2034201414300 has 144 divisors (see below), whose sum is σ = 6421438501632. Its totient is φ = 493081433600.

The previous prime is 2034201414277. The next prime is 2034201414331. The reversal of 2034201414300 is 34141024302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32199544 + ... + 32262656.

It is an arithmetic number, because the mean of its divisors is an integer number (44593322928).

Almost surely, 2^{2034201414300} is an apocalyptic number.

2034201414300 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 2034201414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210719250816).

2034201414300 is an abundant number, since it is smaller than the sum of its proper divisors (4387237087332).

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

2034201414300 is a wasteful number, since it uses less digits than its factorization.

2034201414300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72908 (or 72901 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2034201414300 its reverse (34141024302), we get a palindrome (2068342438602).

The spelling of 2034201414300 in words is "two trillion, thirty-four billion, two hundred one million, four hundred fourteen thousand, three hundred".