2216520024 has 128 divisors (see below), whose sum is σ = 5862931200. Its totient is φ = 697559040.

The previous prime is 2216520017. The next prime is 2216520029. The reversal of 2216520024 is 4200256122.

It is a happy number.

It is a super-2 number, since 2×2216520024² = 9825922033585921152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2216519976 and 2216520003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216520029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4237827 + ... + 4238349.

It is an arithmetic number, because the mean of its divisors is an integer number (45804150).

Almost surely, 2^2216520024 is an apocalyptic number.

2216520024 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 2216520024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931465600).

2216520024 is an abundant number, since it is smaller than the sum of its proper divisors (3646411176).

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

2216520024 is a wasteful number, since it uses less digits than its factorization.

2216520024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2216520024 is about 47079.9322854228. The cubic root of 2216520024 is about 1303.8387567698.

Adding to 2216520024 its reverse (4200256122), we get a palindrome (6416776146).

The spelling of 2216520024 in words is "two billion, two hundred sixteen million, five hundred twenty thousand, twenty-four".