2254322141200 has 240 divisors, whose sum is σ = 5537203966800. Its totient is φ = 881843200000.

The previous prime is 2254322141189. The next prime is 2254322141213. The reversal of 2254322141200 is 21412234522.

It can be written as a sum of positive squares in 24 ways, for example, as 1108488911104 + 1145833230096 = 1052848^2 + 1070436^2 .

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, 1185860250 + ... + 1185862150.

It is an arithmetic number, because the mean of its divisors is an integer number (23071683195).

Almost surely, 2^{2254322141200} is an apocalyptic number.

2254322141200 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 2254322141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768601983400).

2254322141200 is an abundant number, since it is smaller than the sum of its proper divisors (3282881825600).

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

2254322141200 is a wasteful number, since it uses less digits than its factorization.

2254322141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 2254322141200 its reverse (21412234522), we get a palindrome (2275734375722).

It can be divided in two parts, 225432 and 2141200, that added together give a palindrome (2366632).

The spelling of 2254322141200 in words is "two trillion, two hundred fifty-four billion, three hundred twenty-two million, one hundred forty-one thousand, two hundred".