2220224004 has 72 divisors (see below), whose sum is σ = 5963401080. Its totient is φ = 696485376.

The previous prime is 2220224003. The next prime is 2220224029. The reversal of 2220224004 is 4004220222.

It can be written as a sum of positive squares in 4 ways, for example, as 1162673604 + 1057550400 = 34098^2 + 32520^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2220224003) 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 23 ways as a sum of consecutive naturals, for example, 170592 + ... + 183144.

It is an arithmetic number, because the mean of its divisors is an integer number (82825015).

Almost surely, 2^2220224004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220224004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981700540).

2220224004 is an abundant number, since it is smaller than the sum of its proper divisors (3743177076).

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

2220224004 is a wasteful number, since it uses less digits than its factorization.

2220224004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12614 (or 12575 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2220224004 is about 47119.2530076613. The cubic root of 2220224004 is about 1304.5646251013.

Adding to 2220224004 its reverse (4004220222), we get a palindrome (6224444226).

The spelling of 2220224004 in words is "two billion, two hundred twenty million, two hundred twenty-four thousand, four".