2220516624 has 80 divisors (see below), whose sum is σ = 6054027200. Its totient is φ = 699383808.

The previous prime is 2220516619. The next prime is 2220516629. The reversal of 2220516624 is 4266150222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2220516619) and next prime (2220516629).

It is a junction number, because it is equal to n+sod(n) for n = 2220516591 and 2220516600.

It is not an unprimeable number, because it can be changed into a prime (2220516629) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 370032 + ... + 375984.

It is an arithmetic number, because the mean of its divisors is an integer number (75675340).

Almost surely, 2^2220516624 is an apocalyptic number.

2220516624 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 2220516624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027013600).

2220516624 is an abundant number, since it is smaller than the sum of its proper divisors (3833510576).

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

2220516624 is a wasteful number, since it uses less digits than its factorization.

2220516624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6392 (or 6386 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2220516624 is about 47122.3580055158. The cubic root of 2220516624 is about 1304.6219353742.

Adding to 2220516624 its reverse (4266150222), we get a palindrome (6486666846).

The spelling of 2220516624 in words is "two billion, two hundred twenty million, five hundred sixteen thousand, six hundred twenty-four".