2224041320 has 96 divisors (see below), whose sum is σ = 5488867800. Its totient is φ = 808206336.

The previous prime is 2224041293. The next prime is 2224041343. The reversal of 2224041320 is 231404222.

It can be written as a sum of positive squares in 12 ways, for example, as 730837156 + 1493204164 = 27034^2 + 38642^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2224041292 and 2224041301.

It is a congruent number.

It is an unprimeable number.

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, 569936 + ... + 573824.

Almost surely, 2^2224041320 is an apocalyptic number.

2224041320 is a gapful number since it is divisible by the number (20) 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 2224041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744433900).

2224041320 is an abundant number, since it is smaller than the sum of its proper divisors (3264826480).

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

2224041320 is a wasteful number, since it uses less digits than its factorization.

2224041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2224041320 is about 47159.7425777538. The cubic root of 2224041320 is about 1305.3118596244.

Adding to 2224041320 its reverse (231404222), we get a palindrome (2455445542).

The spelling of 2224041320 in words is "two billion, two hundred twenty-four million, forty-one thousand, three hundred twenty".