2224261224 has 96 divisors (see below), whose sum is σ = 6117340320. Its totient is φ = 730002048.

The previous prime is 2224261223. The next prime is 2224261231. The reversal of 2224261224 is 4221624222.

2224261224 is a `hidden beast` number, since 2 + 2 + 2 + 42 + 612 + 2 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2224261223) 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 23 ways as a sum of consecutive naturals, for example, 2790394 + ... + 2791190.

It is an arithmetic number, because the mean of its divisors is an integer number (63722295).

Almost surely, 2^2224261224 is an apocalyptic number.

2224261224 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 2224261224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058670160).

2224261224 is an abundant number, since it is smaller than the sum of its proper divisors (3893079096).

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

2224261224 is a wasteful number, since it uses less digits than its factorization.

2224261224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1352 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2224261224 is about 47162.0740001964. The cubic root of 2224261224 is about 1305.3548794845.

Adding to 2224261224 its reverse (4221624222), we get a palindrome (6445885446).

The spelling of 2224261224 in words is "two billion, two hundred twenty-four million, two hundred sixty-one thousand, two hundred twenty-four".