2021090800 has 120 divisors (see below), whose sum is σ = 5163798960. Its totient is φ = 758016000.

The previous prime is 2021090783. The next prime is 2021090801. The reversal of 2021090800 is 80901202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021090801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766284 + ... + 768916.

It is an arithmetic number, because the mean of its divisors is an integer number (43031658).

Almost surely, 2^2021090800 is an apocalyptic number.

2021090800 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 2021090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581899480).

2021090800 is an abundant number, since it is smaller than the sum of its proper divisors (3142708160).

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

2021090800 is a wasteful number, since it uses less digits than its factorization.

2021090800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 2021090800 is about 44956.5434614362. The cubic root of 2021090800 is about 1264.3343631542.

The spelling of 2021090800 in words is "two billion, twenty-one million, ninety thousand, eight hundred".