2516200 has 48 divisors (see below), whose sum is σ = 6115680. Its totient is φ = 960960.

The previous prime is 2516197. The next prime is 2516201. The reversal of 2516200 is 26152.

It is a happy number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2516201) 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, 4327 + ... + 4873.

It is an arithmetic number, because the mean of its divisors is an integer number (127410).

2^2516200 is an apocalyptic number.

2516200 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 2516200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057840).

2516200 is an abundant number, since it is smaller than the sum of its proper divisors (3599480).

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

2516200 is a wasteful number, since it uses less digits than its factorization.

2516200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2516200 is about 1586.2534475928. The cubic root of 2516200 is about 136.0134069828.

The spelling of 2516200 in words is "two million, five hundred sixteen thousand, two hundred".