2483200 has 66 divisors (see below), whose sum is σ = 6218786. Its totient is φ = 983040.

The previous prime is 2483179. The next prime is 2483219. The reversal of 2483200 is 23842.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 123904 + 2359296 = 352^2 + 1536^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 25552 + ... + 25648.

2^2483200 is an apocalyptic number.

2483200 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 2483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109393).

2483200 is an abundant number, since it is smaller than the sum of its proper divisors (3735586).

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

2483200 is an equidigital number, since it uses as much as digits as its factorization.

2483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2483200 is about 1575.8172482874. The cubic root of 2483200 is about 135.4161825098.

The spelling of 2483200 in words is "two million, four hundred eighty-three thousand, two hundred".