2224205340 has 192 divisors, whose sum is σ = 7471650816. Its totient is φ = 483360768.

The previous prime is 2224205327. The next prime is 2224205359. The reversal of 2224205340 is 435024222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2224205340.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1863784 + ... + 1864976.

It is an arithmetic number, because the mean of its divisors is an integer number (38914848).

Almost surely, 2^2224205340 is an apocalyptic number.

2224205340 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 2224205340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735825408).

2224205340 is an abundant number, since it is smaller than the sum of its proper divisors (5247445476).

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

2224205340 is a wasteful number, since it uses less digits than its factorization.

2224205340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2224205340 is about 47161.4815288918. The cubic root of 2224205340 is about 1305.3439471560.

Adding to 2224205340 its reverse (435024222), we get a palindrome (2659229562).

The spelling of 2224205340 in words is "two billion, two hundred twenty-four million, two hundred five thousand, three hundred forty".