2224440334000 has 320 divisors, whose sum is σ = 5548954844160. Its totient is φ = 862175846400.

The previous prime is 2224440333977. The next prime is 2224440334001. The reversal of 2224440334000 is 4330444222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2224440334000.

It is not an unprimeable number, because it can be changed into a prime (2224440334001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2394445536 + ... + 2394446464.

It is an arithmetic number, because the mean of its divisors is an integer number (17340483888).

Almost surely, 2^{2224440334000} is an apocalyptic number.

2224440334000 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 2224440334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774477422080).

2224440334000 is an abundant number, since it is smaller than the sum of its proper divisors (3324514510160).

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

2224440334000 is a wasteful number, since it uses less digits than its factorization.

2224440334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 2224440334000 its reverse (4330444222), we get a palindrome (2228770778222).

The spelling of 2224440334000 in words is "two trillion, two hundred twenty-four billion, four hundred forty million, three hundred thirty-four thousand".