2513200 has 60 divisors (see below), whose sum is σ = 6196528. Its totient is φ = 979200.

The previous prime is 2513197. The next prime is 2513209. The reversal of 2513200 is 23152.

It is not an unprimeable number, because it can be changed into a prime (2513209) 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, 24349 + ... + 24451.

2^2513200 is an apocalyptic number.

2513200 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 2513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098264).

2513200 is an abundant number, since it is smaller than the sum of its proper divisors (3683328).

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

2513200 is a wasteful number, since it uses less digits than its factorization.

2513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 2513200 is about 1585.3075411415. The cubic root of 2513200 is about 135.9593303999.

Adding to 2513200 its reverse (23152), we get a palindrome (2536352).

It can be divided in two parts, 25 and 13200, that added together give a square (13225 = 115²).

The spelling of 2513200 in words is "two million, five hundred thirteen thousand, two hundred".