2000900 has 72 divisors (see below), whose sum is σ = 5062176. Its totient is φ = 678400.

The previous prime is 2000863. The next prime is 2000903. The reversal of 2000900 is 90002.

2000900 = T₁₅ + T₁₆ + ... + T₂₂₈.

It is a Harshad number since it is a multiple of its sum of digits (11).

2000900 is a modest number, since divided by 900 gives 200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000903) 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 23 ways as a sum of consecutive naturals, for example, 18647 + ... + 18753.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

2^2000900 is an apocalyptic number.

2000900 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 2000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531088).

2000900 is an abundant number, since it is smaller than the sum of its proper divisors (3061276).

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

2000900 is a wasteful number, since it uses less digits than its factorization.

2000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 2000900 is about 1414.5317246354. The cubic root of 2000900 is about 126.0110009711.

Adding to 2000900 its reverse (90002), we get a palindrome (2090902).

The spelling of 2000900 in words is "two million, nine hundred", and thus it is an aban number.