2512200 has 96 divisors (see below), whose sum is σ = 8035200. Its totient is φ = 648960.

The previous prime is 2512177. The next prime is 2512207. The reversal of 2512200 is 22152.

It is a super-2 number, since 2×2512200² = 12622297680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512207) 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, 31761 + ... + 31839.

It is an arithmetic number, because the mean of its divisors is an integer number (83700).

2^2512200 is an apocalyptic number.

2512200 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 2512200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017600).

2512200 is an abundant number, since it is smaller than the sum of its proper divisors (5523000).

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

2512200 is a wasteful number, since it uses less digits than its factorization.

2512200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2512200 is about 1584.9921135450. The cubic root of 2512200 is about 135.9412953095.

Adding to 2512200 its reverse (22152), we get a palindrome (2534352).

The spelling of 2512200 in words is "two million, five hundred twelve thousand, two hundred".