2385200 has 60 divisors (see below), whose sum is σ = 5881320. Its totient is φ = 929280.

The previous prime is 2385199. The next prime is 2385209. The reversal of 2385200 is 25832.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 2¹⁵ + 3¹¹ + 8 + 5⁷ + 2²¹ + 0 + 0 .

It is not an unprimeable number, because it can be changed into a prime (2385209) 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, 26756 + ... + 26844.

It is an arithmetic number, because the mean of its divisors is an integer number (98022).

2^2385200 is an apocalyptic number.

2385200 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 2385200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940660).

2385200 is an abundant number, since it is smaller than the sum of its proper divisors (3496120).

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

2385200 is a wasteful number, since it uses less digits than its factorization.

2385200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2385200 is about 1544.4092721814. The cubic root of 2385200 is about 133.6108110343.

The spelling of 2385200 in words is "two million, three hundred eighty-five thousand, two hundred".