2423200 has 72 divisors (see below), whose sum is σ = 6398028. Its totient is φ = 890880.

The previous prime is 2423191. The next prime is 2423209. The reversal of 2423200 is 23242.

It is an interprime number because it is at equal distance from previous prime (2423191) and next prime (2423209).

It can be written as a sum of positive squares in 6 ways, for example, as 197136 + 2226064 = 444^2 + 1492^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423209) 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, 10284 + ... + 10516.

2^2423200 is an apocalyptic number.

2423200 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 2423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199014).

2423200 is an abundant number, since it is smaller than the sum of its proper divisors (3974828).

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

2423200 is a wasteful number, since it uses less digits than its factorization.

2423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2423200 is about 1556.6630977832. The cubic root of 2423200 is about 134.3166196732.

Adding to 2423200 its reverse (23242), we get a palindrome (2446442).

It can be divided in two parts, 242 and 3200, that multiplied together give a square (774400 = 880²).

The spelling of 2423200 in words is "two million, four hundred twenty-three thousand, two hundred".