2141200 has 60 divisors (see below), whose sum is σ = 5293188. Its totient is φ = 832000.

The previous prime is 2141197. The next prime is 2141203. The reversal of 2141200 is 21412.

It is an interprime number because it is at equal distance from previous prime (2141197) and next prime (2141203).

It can be written as a sum of positive squares in 6 ways, for example, as 147456 + 1993744 = 384^2 + 1412^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2141203) 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, 21150 + ... + 21250.

2^2141200 is an apocalyptic number.

2141200 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 2141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646594).

2141200 is an abundant number, since it is smaller than the sum of its proper divisors (3151988).

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

2141200 is a wasteful number, since it uses less digits than its factorization.

2141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2141200 is about 1463.2839779072. The cubic root of 2141200 is about 128.8899568327.

Adding to 2141200 its reverse (21412), we get a palindrome (2162612).

Multiplying 2141200 by its reverse (21412), we get a square (45847374400 = 214120²).

2141200 divided by its reverse (21412) gives a square (100 = 10²).

The spelling of 2141200 in words is "two million, one hundred forty-one thousand, two hundred".