2523200 has 84 divisors (see below), whose sum is σ = 6614160. Its totient is φ = 944640.

The previous prime is 2523187. The next prime is 2523211. The reversal of 2523200 is 23252.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30359 + ... + 30441.

It is an arithmetic number, because the mean of its divisors is an integer number (78740).

2^2523200 is an apocalyptic number.

2523200 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 2523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307080).

2523200 is an abundant number, since it is smaller than the sum of its proper divisors (4090960).

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

2523200 is a wasteful number, since it uses less digits than its factorization.

2523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 2523200 is about 1588.4583721332. The cubic root of 2523200 is about 136.1394187348.

Adding to 2523200 its reverse (23252), we get a palindrome (2546452).

The spelling of 2523200 in words is "two million, five hundred twenty-three thousand, two hundred".