2131200 has 162 divisors, whose sum is σ = 7825454. Its totient is φ = 552960.

The previous prime is 2131193. The next prime is 2131223. The reversal of 2131200 is 21312.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 451584 + 1679616 = 672^2 + 1296^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57582 + ... + 57618.

2^2131200 is an apocalyptic number.

2131200 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 2131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912727).

2131200 is an abundant number, since it is smaller than the sum of its proper divisors (5694254).

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

2131200 is a wasteful number, since it uses less digits than its factorization.

2131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2131200 is about 1459.8630072716. The cubic root of 2131200 is about 128.6889929966.

Adding to 2131200 its reverse (21312), we get a palindrome (2152512).

Multiplying 2131200 by its reverse (21312), we get a square (45420134400 = 213120²).

2131200 divided by its reverse (21312) gives a square (100 = 10²).

The spelling of 2131200 in words is "two million, one hundred thirty-one thousand, two hundred".