2224741120 has 216 divisors, whose sum is σ = 6291432000. Its totient is φ = 751435776.

The previous prime is 2224741117. The next prime is 2224741157. The reversal of 2224741120 is 211474222.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4954656 + ... + 4955104.

It is an arithmetic number, because the mean of its divisors is an integer number (29127000).

Almost surely, 2^2224741120 is an apocalyptic number.

2224741120 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 2224741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145716000).

2224741120 is an abundant number, since it is smaller than the sum of its proper divisors (4066690880).

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

2224741120 is an equidigital number, since it uses as much as digits as its factorization.

2224741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 2224741120 is about 47167.1614579466. The cubic root of 2224741120 is about 1305.4487517827.

The spelling of 2224741120 in words is "two billion, two hundred twenty-four million, seven hundred forty-one thousand, one hundred twenty".