2652200 has 48 divisors (see below), whose sum is σ = 6277500. Its totient is φ = 1041920.

The previous prime is 2652179. The next prime is 2652203. The reversal of 2652200 is 22562.

It can be written as a sum of positive squares in 6 ways, for example, as 174724 + 2477476 = 418^2 + 1574^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2652203) 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, 17726 + ... + 17874.

2^2652200 is an apocalyptic number.

2652200 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 2652200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138750).

2652200 is an abundant number, since it is smaller than the sum of its proper divisors (3625300).

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

2652200 is a wasteful number, since it uses less digits than its factorization.

2652200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2652200 is about 1628.5576440519. The cubic root of 2652200 is about 138.4210343697.

Adding to 2652200 its reverse (22562), we get a palindrome (2674762).

The spelling of 2652200 in words is "two million, six hundred fifty-two thousand, two hundred".