2264212224 has 144 divisors (see below), whose sum is σ = 6912317440. Its totient is φ = 730321920.

The previous prime is 2264212199. The next prime is 2264212231. The reversal of 2264212224 is 4222124622.

2264212224 is a `hidden beast` number, since 2 + 2 + 642 + 12 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2264212224² = 10253313990622052352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208989 + ... + 219555.

Almost surely, 2^2264212224 is an apocalyptic number.

2264212224 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 2264212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456158720).

2264212224 is an abundant number, since it is smaller than the sum of its proper divisors (4648105216).

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

2264212224 is a wasteful number, since it uses less digits than its factorization.

2264212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10623 (or 10603 counting only the distinct ones).

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

The square root of 2264212224 is about 47583.7390712416. The cubic root of 2264212224 is about 1313.1239130009.

Adding to 2264212224 its reverse (4222124622), we get a palindrome (6486336846).

The spelling of 2264212224 in words is "two billion, two hundred sixty-four million, two hundred twelve thousand, two hundred twenty-four".