2216644000 has 192 divisors, whose sum is σ = 5721075360. Its totient is φ = 842956800.

The previous prime is 2216643997. The next prime is 2216644007. The reversal of 2216644000 is 4466122.

It can be written as a sum of positive squares in 16 ways, for example, as 20034576 + 2196609424 = 4476^2 + 46868^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2216644007) 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 31 ways as a sum of consecutive naturals, for example, 11251902 + ... + 11252098.

Almost surely, 2^2216644000 is an apocalyptic number.

2216644000 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 2216644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860537680).

2216644000 is an abundant number, since it is smaller than the sum of its proper divisors (3504431360).

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

2216644000 is a wasteful number, since it uses less digits than its factorization.

2216644000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2216644000 is about 47081.2489214124. The cubic root of 2216644000 is about 1303.8630654005.

It can be divided in two parts, 22166 and 44000, that added together give a palindrome (66166).

The spelling of 2216644000 in words is "two billion, two hundred sixteen million, six hundred forty-four thousand".