2220444800 has 360 divisors, whose sum is σ = 6797564835. Its totient is φ = 716513280.

The previous prime is 2220444773. The next prime is 2220444833. The reversal of 2220444800 is 84440222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1445824576 + 774620224 = 38024^2 + 27832^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33320.

It is a self number, because there is not a number n which added to its sum of digits gives 2220444800.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 130614392 + ... + 130614408.

Almost surely, 2^2220444800 is an apocalyptic number.

2220444800 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 2220444800

2220444800 is an abundant number, since it is smaller than the sum of its proper divisors (4577120035).

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

2220444800 is an frugal number, since it uses more digits than its factorization.

2220444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 2220444800 is about 47121.5958982715. The cubic root of 2220444800 is about 1304.6078689515.

The spelling of 2220444800 in words is "two billion, two hundred twenty million, four hundred forty-four thousand, eight hundred".