2000284100 has 18 divisors (see below), whose sum is σ = 4340616714. Its totient is φ = 800113600.

The previous prime is 2000284067. The next prime is 2000284159. The reversal of 2000284100 is 14820002.

It can be written as a sum of positive squares in 3 ways, for example, as 14868736 + 1985415364 = 3856^2 + 44558^2 .

It is a super-2 number, since 2×2000284100² = 8002272961425620000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10001321 + ... + 10001520.

It is an arithmetic number, because the mean of its divisors is an integer number (241145373).

Almost surely, 2^2000284100 is an apocalyptic number.

2000284100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000284100 is an abundant number, since it is smaller than the sum of its proper divisors (2340332614).

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

2000284100 is a wasteful number, since it uses less digits than its factorization.

2000284100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20002855 (or 20002848 counting only the distinct ones).

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

The square root of 2000284100 is about 44724.5357717663. The cubic root of 2000284100 is about 1259.9807043320.

The spelling of 2000284100 in words is "two billion, two hundred eighty-four thousand, one hundred".