2216437344 has 360 divisors, whose sum is σ = 7397115264. Its totient is φ = 650073600.

The previous prime is 2216437303. The next prime is 2216437361. The reversal of 2216437344 is 4437346122.

2216437344 is a `hidden beast` number, since 2 + 2 + 1 + 643 + 7 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2216437299 and 2216437308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11604289 + ... + 11604479.

Almost surely, 2^2216437344 is an apocalyptic number.

2216437344 is a gapful number since it is divisible by the number (24) 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 2216437344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698557632).

2216437344 is an abundant number, since it is smaller than the sum of its proper divisors (5180677920).

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

2216437344 is a wasteful number, since it uses less digits than its factorization.

2216437344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 244 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 2216437344 is about 47079.0541961072. The cubic root of 2216437344 is about 1303.8225447607.

The spelling of 2216437344 in words is "two billion, two hundred sixteen million, four hundred thirty-seven thousand, three hundred forty-four".