2200452221440 has 320 divisors, whose sum is σ = 5809071945600. Its totient is φ = 792758845440.

The previous prime is 2200452221393. The next prime is 2200452221449. The reversal of 2200452221440 is 441222540022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 2200452221399 and 2200452221408.

It is not an unprimeable number, because it can be changed into a prime (2200452221449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2097666036 + ... + 2097667084.

It is an arithmetic number, because the mean of its divisors is an integer number (18153349830).

Almost surely, 2^{2200452221440} is an apocalyptic number.

2200452221440 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 2200452221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904535972800).

2200452221440 is an abundant number, since it is smaller than the sum of its proper divisors (3608619724160).

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

2200452221440 is a wasteful number, since it uses less digits than its factorization.

2200452221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 2200452221440 its reverse (441222540022), we get a palindrome (2641674761462).

The spelling of 2200452221440 in words is "two trillion, two hundred billion, four hundred fifty-two million, two hundred twenty-one thousand, four hundred forty".