2642200 has 48 divisors (see below), whose sum is σ = 6707160. Its totient is φ = 960000.

The previous prime is 2642179. The next prime is 2642201. The reversal of 2642200 is 22462.

2642200 is an undulating number in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1600 + ... + 2800.

2^2642200 is an apocalyptic number.

2642200 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 2642200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353580).

2642200 is an abundant number, since it is smaller than the sum of its proper divisors (4064960).

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

2642200 is a wasteful number, since it uses less digits than its factorization.

2642200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2642200 is about 1625.4845431440. The cubic root of 2642200 is about 138.2468451811.

Adding to 2642200 its reverse (22462), we get a palindrome (2664662).

The spelling of 2642200 in words is "two million, six hundred forty-two thousand, two hundred".