2612200 has 48 divisors (see below), whose sum is σ = 6255180. Its totient is φ = 1013760.

The previous prime is 2612171. The next prime is 2612201. The reversal of 2612200 is 22162.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1406596 + 1205604 = 1186^2 + 1098^2 .

It is not an unprimeable number, because it can be changed into a prime (2612201) 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, 7224 + ... + 7576.

2^2612200 is an apocalyptic number.

2612200 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 2612200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127590).

2612200 is an abundant number, since it is smaller than the sum of its proper divisors (3642980).

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

2612200 is a wasteful number, since it uses less digits than its factorization.

2612200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2612200 is about 1616.2301816264. The cubic root of 2612200 is about 137.7216260565.

Adding to 2612200 its reverse (22162), we get a palindrome (2634362).

The spelling of 2612200 in words is "two million, six hundred twelve thousand, two hundred".