2040328900 has 27 divisors (see below), whose sum is σ = 4428494119. Its totient is φ = 815950880.

The previous prime is 2040328897. The next prime is 2040328921. The reversal of 2040328900 is 98230402.

The square root of 2040328900 is 45170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1180197316 + 860131584 = 34354^2 + 29328^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 449442 + ... + 453958.

Almost surely, 2^2040328900 is an apocalyptic number.

2040328900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2040328900 is the 45170-th square number.

It is an amenable number.

2040328900 is an abundant number, since it is smaller than the sum of its proper divisors (2388165219).

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

2040328900 is an frugal number, since it uses more digits than its factorization.

2040328900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9048 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The cubic root of 2040328900 is about 1268.3332963040. Note that the first 3 decimals are identical.

The spelling of 2040328900 in words is "two billion, forty million, three hundred twenty-eight thousand, nine hundred".