2224966320 has 240 divisors, whose sum is σ = 7808979360. Its totient is φ = 589545216.

The previous prime is 2224966319. The next prime is 2224966361. The reversal of 2224966320 is 236694222.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 14171682 + ... + 14171838.

It is an arithmetic number, because the mean of its divisors is an integer number (32537414).

Almost surely, 2^2224966320 is an apocalyptic number.

2224966320 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 2224966320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904489680).

2224966320 is an abundant number, since it is smaller than the sum of its proper divisors (5584013040).

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

2224966320 is an frugal number, since it uses more digits than its factorization.

2224966320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2224966320 is about 47169.5486516460. The cubic root of 2224966320 is about 1305.4927984266.

The spelling of 2224966320 in words is "two billion, two hundred twenty-four million, nine hundred sixty-six thousand, three hundred twenty".