2065200 has 60 divisors (see below), whose sum is σ = 6619368. Its totient is φ = 550400.

The previous prime is 2065187. The next prime is 2065213. The reversal of 2065200 is 25602.

It is an interprime number because it is at equal distance from previous prime (2065187) and next prime (2065213).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2065200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340 + ... + 2060.

2^2065200 is an apocalyptic number.

2065200 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 2065200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309684).

2065200 is an abundant number, since it is smaller than the sum of its proper divisors (4554168).

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

2065200 is a wasteful number, since it uses less digits than its factorization.

2065200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2065200 is about 1437.0803735352. The cubic root of 2065200 is about 127.3466052216.

The spelling of 2065200 in words is "two million, sixty-five thousand, two hundred".