2241107200 has 108 divisors (see below), whose sum is σ = 5573940988. Its totient is φ = 892108800.

The previous prime is 2241107179. The next prime is 2241107203. The reversal of 2241107200 is 27011422.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 200958976 + 2040148224 = 14176^2 + 45168^2 .

It is a super-2 number, since 2×2241107200² = 10045122963783680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241107203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1541674 + ... + 1543126.

Almost surely, 2^2241107200 is an apocalyptic number.

2241107200 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 2241107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786970494).

2241107200 is an abundant number, since it is smaller than the sum of its proper divisors (3332833788).

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

2241107200 is a wasteful number, since it uses less digits than its factorization.

2241107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 2241107200 is about 47340.3337546325. Note that the first 3 decimals coincide. The cubic root of 2241107200 is about 1308.6420674124.

Adding to 2241107200 its reverse (27011422), we get a palindrome (2268118622).

The spelling of 2241107200 in words is "two billion, two hundred forty-one million, one hundred seven thousand, two hundred".