2241314600 has 96 divisors (see below), whose sum is σ = 5982355200. Its totient is φ = 764985600.

The previous prime is 2241314591. The next prime is 2241314611. The reversal of 2241314600 is 64131422.

It is a super-2 number, since 2×2241314600² = 10046982272346320000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317105 + ... + 324095.

It is an arithmetic number, because the mean of its divisors is an integer number (62316200).

Almost surely, 2^2241314600 is an apocalyptic number.

2241314600 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 2241314600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991177600).

2241314600 is an abundant number, since it is smaller than the sum of its proper divisors (3741040600).

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

2241314600 is a wasteful number, since it uses less digits than its factorization.

2241314600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7243 (or 7234 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2241314600 is about 47342.5242250558. The cubic root of 2241314600 is about 1308.6824349582.

The spelling of 2241314600 in words is "two billion, two hundred forty-one million, three hundred fourteen thousand, six hundred".