2216636800 has 192 divisors, whose sum is σ = 6627299040. Its totient is φ = 715161600.

The previous prime is 2216636789. The next prime is 2216636819. The reversal of 2216636800 is 86366122.

It is a happy number.

It is a super-2 number, since 2×2216636800² = 9826957406228480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 377890 + ... + 383710.

Almost surely, 2^2216636800 is an apocalyptic number.

2216636800 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 2216636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313649520).

2216636800 is an abundant number, since it is smaller than the sum of its proper divisors (4410662240).

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

2216636800 is a wasteful number, since it uses less digits than its factorization.

2216636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5869 (or 5852 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 2216636800 is about 47081.1724577883. The cubic root of 2216636800 is about 1303.8616536832.

The spelling of 2216636800 in words is "two billion, two hundred sixteen million, six hundred thirty-six thousand, eight hundred".