2200044220416 has 312 divisors, whose sum is σ = 7291901320704. Its totient is φ = 626061312000.

The previous prime is 2200044220411. The next prime is 2200044220421. The reversal of 2200044220416 is 6140224400022.

2200044220416 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 0 + 442 + 204 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (2200044220411) and next prime (2200044220421).

It is a self number, because there is not a number n which added to its sum of digits gives 2200044220416.

It is not an unprimeable number, because it can be changed into a prime (2200044220411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64753065 + ... + 64787031.

It is an arithmetic number, because the mean of its divisors is an integer number (23371478592).

Almost surely, 2^{2200044220416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200044220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645950660352).

2200044220416 is an abundant number, since it is smaller than the sum of its proper divisors (5091857100288).

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

2200044220416 is a wasteful number, since it uses less digits than its factorization.

2200044220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34255 (or 34230 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2200044220416 its reverse (6140224400022), we get a palindrome (8340268620438).

The spelling of 2200044220416 in words is "two trillion, two hundred billion, forty-four million, two hundred twenty thousand, four hundred sixteen".