2534222105200 has 120 divisors (see below), whose sum is σ = 6441450689520. Its totient is φ = 955461427200.

The previous prime is 2534222105131. The next prime is 2534222105213. The reversal of 2534222105200 is 25012224352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650880 + ... + 2343520.

It is an arithmetic number, because the mean of its divisors is an integer number (53678755746).

Almost surely, 2^{2534222105200} is an apocalyptic number.

2534222105200 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 2534222105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220725344760).

2534222105200 is an abundant number, since it is smaller than the sum of its proper divisors (3907228584320).

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

2534222105200 is a wasteful number, since it uses less digits than its factorization.

2534222105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692875 (or 1692864 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 2534222105200 its reverse (25012224352), we get a palindrome (2559234329552).

The spelling of 2534222105200 in words is "two trillion, five hundred thirty-four billion, two hundred twenty-two million, one hundred five thousand, two hundred".