2241736200 has 288 divisors, whose sum is σ = 8407095840. Its totient is φ = 530611200.

The previous prime is 2241736199. The next prime is 2241736241. The reversal of 2241736200 is 26371422.

2241736200 is a `hidden beast` number, since 2 + 24 + 17 + 3 + 620 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 850084 + ... + 852716.

It is an arithmetic number, because the mean of its divisors is an integer number (29191305).

Almost surely, 2^2241736200 is an apocalyptic number.

2241736200 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 2241736200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203547920).

2241736200 is an abundant number, since it is smaller than the sum of its proper divisors (6165359640).

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

2241736200 is a wasteful number, since it uses less digits than its factorization.

2241736200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2241736200 is about 47346.9766722227. The cubic root of 2241736200 is about 1308.7644859003.

The spelling of 2241736200 in words is "two billion, two hundred forty-one million, seven hundred thirty-six thousand, two hundred".