2224620216 has 192 divisors, whose sum is σ = 7449361920. Its totient is φ = 584029440.

The previous prime is 2224620169. The next prime is 2224620253. The reversal of 2224620216 is 6120264222.

It is a happy number.

2224620216 is a `hidden beast` number, since 2 + 2 + 24 + 620 + 2 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2224620216.

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 47 ways as a sum of consecutive naturals, for example, 1722531 + ... + 1723821.

It is an arithmetic number, because the mean of its divisors is an integer number (38798760).

Almost surely, 2^2224620216 is an apocalyptic number.

2224620216 is a gapful number since it is divisible by the number (26) 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 2224620216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724680960).

2224620216 is an abundant number, since it is smaller than the sum of its proper divisors (5224741704).

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

2224620216 is a wasteful number, since it uses less digits than its factorization.

2224620216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1579 counting only the distinct ones).

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

The square root of 2224620216 is about 47165.8797861335. The cubic root of 2224620216 is about 1305.4251030633.

Adding to 2224620216 its reverse (6120264222), we get a palindrome (8344884438).

The spelling of 2224620216 in words is "two billion, two hundred twenty-four million, six hundred twenty thousand, two hundred sixteen".