2224205200140 has 288 divisors, whose sum is σ = 7960023187200. Its totient is φ = 458846599680.

The previous prime is 2224205200123. The next prime is 2224205200141. The reversal of 2224205200140 is 410025024222.

It is a self number, because there is not a number n which added to its sum of digits gives 2224205200140.

It is not an unprimeable number, because it can be changed into a prime (2224205200141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4247866 + ... + 4742654.

It is an arithmetic number, because the mean of its divisors is an integer number (27638969400).

Almost surely, 2^{2224205200140} is an apocalyptic number.

2224205200140 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 2224205200140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980011593600).

2224205200140 is an abundant number, since it is smaller than the sum of its proper divisors (5735817987060).

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

2224205200140 is a wasteful number, since it uses less digits than its factorization.

2224205200140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494965 (or 494956 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The spelling of 2224205200140 in words is "two trillion, two hundred twenty-four billion, two hundred five million, two hundred thousand, one hundred forty".