2241340200 has 384 divisors, whose sum is σ = 8530704000. Its totient is φ = 536371200.

The previous prime is 2241340193. The next prime is 2241340223. The reversal of 2241340200 is 20431422.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 5761606 + ... + 5761994.

It is an arithmetic number, because the mean of its divisors is an integer number (22215375).

Almost surely, 2^2241340200 is an apocalyptic number.

2241340200 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 2241340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265352000).

2241340200 is an abundant number, since it is smaller than the sum of its proper divisors (6289363800).

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

2241340200 is a wasteful number, since it uses less digits than its factorization.

2241340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2241340200 is about 47342.7945943203. The cubic root of 2241340200 is about 1308.6874174720.

Adding to 2241340200 its reverse (20431422), we get a palindrome (2261771622).

The spelling of 2241340200 in words is "two billion, two hundred forty-one million, three hundred forty thousand, two hundred".