2387200 has 54 divisors (see below), whose sum is σ = 5924534. Its totient is φ = 952320.

The previous prime is 2387197. The next prime is 2387201. The reversal of 2387200 is 27832.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 173056 + 2214144 = 416^2 + 1488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2387201) 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 5 ways as a sum of consecutive naturals, for example, 6214 + ... + 6586.

2^2387200 is an apocalyptic number.

2387200 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 2387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962267).

2387200 is an abundant number, since it is smaller than the sum of its proper divisors (3537334).

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

2387200 is an equidigital number, since it uses as much as digits as its factorization.

2387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2387200 is about 1545.0566332662. The cubic root of 2387200 is about 133.6481450060.

It can be divided in two parts, 2 and 387200, that multiplied together give a square (774400 = 880²).

The spelling of 2387200 in words is "two million, three hundred eighty-seven thousand, two hundred".