2034413105200 has 360 divisors, whose sum is σ = 5876161044480. Its totient is φ = 674197977600.

The previous prime is 2034413105173. The next prime is 2034413105201. The reversal of 2034413105200 is 25013144302.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2034413105201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 706637361 + ... + 706640239.

It is an arithmetic number, because the mean of its divisors is an integer number (16322669568).

Almost surely, 2^{2034413105200} is an apocalyptic number.

2034413105200 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 2034413105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938080522240).

2034413105200 is an abundant number, since it is smaller than the sum of its proper divisors (3841747939280).

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

2034413105200 is a wasteful number, since it uses less digits than its factorization.

2034413105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 2034413105200 its reverse (25013144302), we get a palindrome (2059426249502).

The spelling of 2034413105200 in words is "two trillion, thirty-four billion, four hundred thirteen million, one hundred five thousand, two hundred".