2543200 has 108 divisors (see below), whose sum is σ = 7194852. Its totient is φ = 870400.

The previous prime is 2543171. The next prime is 2543201. The reversal of 2543200 is 23452.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a d-powerful number, because it can be written as 2³ + 5⁹ + 4⁸ + 3⁵ + 2¹⁹ + 0 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 149592 + ... + 149608.

It is an arithmetic number, because the mean of its divisors is an integer number (66619).

2^2543200 is an apocalyptic number.

2543200 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 2543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597426).

2543200 is an abundant number, since it is smaller than the sum of its proper divisors (4651652).

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

2543200 is a wasteful number, since it uses less digits than its factorization.

2543200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 2543200 is about 1594.7413583400. The cubic root of 2543200 is about 136.4981729462.

Adding to 2543200 its reverse (23452), we get a palindrome (2566652).

The spelling of 2543200 in words is "two million, five hundred forty-three thousand, two hundred".