2097200 has 90 divisors (see below), whose sum is σ = 5915916. Its totient is φ = 712320.

The previous prime is 2097169. The next prime is 2097211. The reversal of 2097200 is 27902.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 2⁵ + 0 + 9 + 7 + 2²¹ + 0 + 0 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19547 + ... + 19653.

2^2097200 is an apocalyptic number.

2097200 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 2097200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957958).

2097200 is an abundant number, since it is smaller than the sum of its proper divisors (3818716).

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

2097200 is a wasteful number, since it uses less digits than its factorization.

2097200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 2097200 is about 1448.1712605904. The cubic root of 2097200 is about 128.0009765550. Note that the first 3 decimals are identical.

The spelling of 2097200 in words is "two million, ninety-seven thousand, two hundred".