2852200 has 48 divisors (see below), whose sum is σ = 7147980. Its totient is φ = 1052160.

The previous prime is 2852197. The next prime is 2852249. The reversal of 2852200 is 22582.

It can be written as a sum of positive squares in 6 ways, for example, as 311364 + 2540836 = 558^2 + 1594^2 .

It is a plaindrome in base 11.

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, 2052 + ... + 3148.

2^2852200 is an apocalyptic number.

2852200 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 2852200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573990).

2852200 is an abundant number, since it is smaller than the sum of its proper divisors (4295780).

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

2852200 is a wasteful number, since it uses less digits than its factorization.

2852200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2852200 is about 1688.8457596832. The cubic root of 2852200 is about 141.8164659207.

Adding to 2852200 its reverse (22582), we get a palindrome (2874782).

It can be divided in two parts, 285 and 2200, that added together give a triangular number (2485 = T₇₀).

The spelling of 2852200 in words is "two million, eight hundred fifty-two thousand, two hundred".