2000828220 has 48 divisors (see below), whose sum is σ = 5609264640. Its totient is φ = 532892736.

The previous prime is 2000828201. The next prime is 2000828239. The reversal of 2000828220 is 228280002.

It is an interprime number because it is at equal distance from previous prime (2000828201) and next prime (2000828239).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 29121 + ... + 69639.

It is an arithmetic number, because the mean of its divisors is an integer number (116859680).

Almost surely, 2^2000828220 is an apocalyptic number.

2000828220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000828220 is an abundant number, since it is smaller than the sum of its proper divisors (3608436420).

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

2000828220 is a wasteful number, since it uses less digits than its factorization.

2000828220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41354 (or 41352 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2000828220 is about 44730.6183726539. The cubic root of 2000828220 is about 1260.0949411957.

The spelling of 2000828220 in words is "two billion, eight hundred twenty-eight thousand, two hundred twenty".