2216620224 has 252 divisors, whose sum is σ = 7865126256. Its totient is φ = 584423424.

The previous prime is 2216620181. The next prime is 2216620243. The reversal of 2216620224 is 4220266122.

It is a happy number.

2216620224 is a `hidden beast` number, since 2 + 2 + 16 + 620 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 679782 + ... + 683034.

Almost surely, 2^2216620224 is an apocalyptic number.

2216620224 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 2216620224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932563128).

2216620224 is an abundant number, since it is smaller than the sum of its proper divisors (5648506032).

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

2216620224 is a wasteful number, since it uses less digits than its factorization.

2216620224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2216620224 is about 47080.9964210614. The cubic root of 2216620224 is about 1303.8584035846.

Adding to 2216620224 its reverse (4220266122), we get a palindrome (6436886346).

The spelling of 2216620224 in words is "two billion, two hundred sixteen million, six hundred twenty thousand, two hundred twenty-four".