2438200 has 48 divisors (see below), whose sum is σ = 5780880. Its totient is φ = 956160.

The previous prime is 2438179. The next prime is 2438203. The reversal of 2438200 is 28342.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2438203) 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, 14517 + ... + 14683.

It is an arithmetic number, because the mean of its divisors is an integer number (120435).

2^2438200 is an apocalyptic number.

2438200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2438200 is the 835-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2438200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890440).

2438200 is an abundant number, since it is smaller than the sum of its proper divisors (3342680).

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

2438200 is a wasteful number, since it uses less digits than its factorization.

2438200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2438200 is about 1561.4736629223. The cubic root of 2438200 is about 134.5931969711.

The spelling of 2438200 in words is "two million, four hundred thirty-eight thousand, two hundred".