2140200 has 144 divisors (see below), whose sum is σ = 7616700. Its totient is φ = 537600.

The previous prime is 2140199. The next prime is 2140207. The reversal of 2140200 is 20412.

It can be written as a sum of positive squares in 6 ways, for example, as 285156 + 1855044 = 534^2 + 1362^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2140207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52180 + ... + 52220.

2^2140200 is an apocalyptic number.

2140200 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 2140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808350).

2140200 is an abundant number, since it is smaller than the sum of its proper divisors (5476500).

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

2140200 is a wasteful number, since it uses less digits than its factorization.

2140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2140200 is about 1462.9422408284. The cubic root of 2140200 is about 128.8698886424.

Adding to 2140200 its reverse (20412), we get a palindrome (2160612).

The spelling of 2140200 in words is "two million, one hundred forty thousand, two hundred".