2028202100 has 72 divisors (see below), whose sum is σ = 4640411328. Its totient is φ = 767923200.

The previous prime is 2028202093. The next prime is 2028202147. The reversal of 2028202100 is 12028202.

It is a super-2 number, since 2×2028202100² = 8227207516888820000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 218555 + ... + 227645.

Almost surely, 2^2028202100 is an apocalyptic number.

2028202100 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 2028202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320205664).

2028202100 is an abundant number, since it is smaller than the sum of its proper divisors (2612209228).

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

2028202100 is a wasteful number, since it uses less digits than its factorization.

2028202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9225 (or 9218 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2028202100 is about 45035.5648349169. The cubic root of 2028202100 is about 1265.8155000348.

The spelling of 2028202100 in words is "two billion, twenty-eight million, two hundred two thousand, one hundred".