2192000 has 64 divisors (see below), whose sum is σ = 5489640. Its totient is φ = 870400.

The previous prime is 2191993. The next prime is 2192009. The reversal of 2192000 is 2912.

It can be written as a sum of positive squares in 4 ways, for example, as 732736 + 1459264 = 856^2 + 1208^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2192009) 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 7 ways as a sum of consecutive naturals, for example, 15932 + ... + 16068.

2^2192000 is an apocalyptic number.

2192000 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 2192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744820).

2192000 is an abundant number, since it is smaller than the sum of its proper divisors (3297640).

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

2192000 is an equidigital number, since it uses as much as digits as its factorization.

2192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2192000 is about 1480.5404418657. The cubic root of 2192000 is about 129.9013057622.

Adding to 2192000 its reverse (2912), we get a palindrome (2194912).

The spelling of 2192000 in words is "two million, one hundred ninety-two thousand".