2538200 has 96 divisors (see below), whose sum is σ = 7068000. Its totient is φ = 846720.

The previous prime is 2538169. The next prime is 2538203. The reversal of 2538200 is 28352.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68582 + ... + 68618.

It is an arithmetic number, because the mean of its divisors is an integer number (73625).

2^2538200 is an apocalyptic number.

2538200 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 2538200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534000).

2538200 is an abundant number, since it is smaller than the sum of its proper divisors (4529800).

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

2538200 is a wasteful number, since it uses less digits than its factorization.

2538200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

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

The square root of 2538200 is about 1593.1729347437. The cubic root of 2538200 is about 136.4086612262.

The spelling of 2538200 in words is "two million, five hundred thirty-eight thousand, two hundred".