2013200 has 60 divisors (see below), whose sum is σ = 5535360. Its totient is φ = 689280.

The previous prime is 2013197. The next prime is 2013227. The reversal of 2013200 is 23102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2441 + ... + 3159.

It is an arithmetic number, because the mean of its divisors is an integer number (92256).

2^2013200 is an apocalyptic number.

2013200 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 2013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767680).

2013200 is an abundant number, since it is smaller than the sum of its proper divisors (3522160).

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

2013200 is a wasteful number, since it uses less digits than its factorization.

2013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2013200 is about 1418.8727920430. The cubic root of 2013200 is about 126.2686800448.

Adding to 2013200 its reverse (23102), we get a palindrome (2036302).

The spelling of 2013200 in words is "two million, thirteen thousand, two hundred".