2020825100 has 144 divisors (see below), whose sum is σ = 5124672000. Its totient is φ = 677445120.

The previous prime is 2020825099. The next prime is 2020825111. The reversal of 2020825100 is 15280202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10154801 + ... + 10154999.

It is an arithmetic number, because the mean of its divisors is an integer number (35588000).

Almost surely, 2^2020825100 is an apocalyptic number.

2020825100 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 2020825100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562336000).

2020825100 is an abundant number, since it is smaller than the sum of its proper divisors (3103846900).

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

2020825100 is a wasteful number, since it uses less digits than its factorization.

2020825100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2020825100 is about 44953.5882883669. The cubic root of 2020825100 is about 1264.2789560505.

The spelling of 2020825100 in words is "two billion, twenty million, eight hundred twenty-five thousand, one hundred".