2241800 has 48 divisors (see below), whose sum is σ = 5691600. Its totient is φ = 814400.

The previous prime is 2241797. The next prime is 2241809. The reversal of 2241800 is 81422.

It is not an unprimeable number, because it can be changed into a prime (2241809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1691 + ... + 2709.

It is an arithmetic number, because the mean of its divisors is an integer number (118575).

2^2241800 is an apocalyptic number.

2241800 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 2241800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845800).

2241800 is an abundant number, since it is smaller than the sum of its proper divisors (3449800).

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

2241800 is a wasteful number, since it uses less digits than its factorization.

2241800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2241800 is about 1497.2641717479. The cubic root of 2241800 is about 130.8776901631.

The spelling of 2241800 in words is "two million, two hundred forty-one thousand, eight hundred".