2000180 has 72 divisors (see below), whose sum is σ = 5295528. Its totient is φ = 628992.

The previous prime is 2000177. The next prime is 2000209. The reversal of 2000180 is 810002.

It can be written as a sum of positive squares in 4 ways, for example, as 784 + 1999396 = 28^2 + 1414^2 .

2000180 is a modest number, since divided by 180 gives 20 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12662 + ... + 12818.

It is an arithmetic number, because the mean of its divisors is an integer number (73549).

2^2000180 is an apocalyptic number.

2000180 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 2000180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647764).

2000180 is an abundant number, since it is smaller than the sum of its proper divisors (3295348).

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

2000180 is a wasteful number, since it uses less digits than its factorization.

2000180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2000180 is about 1414.2772005516. The cubic root of 2000180 is about 125.9958846392.

Adding to 2000180 its reverse (810002), we get a palindrome (2810182).

It can be divided in two parts, 2000 and 180, that multiplied together give a square (360000 = 600²).

The spelling of 2000180 in words is "two million, one hundred eighty", and thus it is an aban number.