2022820820 has 72 divisors (see below), whose sum is σ = 4532756760. Its totient is φ = 758118400.

The previous prime is 2022820819. The next prime is 2022820867. The reversal of 2022820820 is 280282202.

It can be written as a sum of positive squares in 12 ways, for example, as 1049630404 + 973190416 = 32398^2 + 31196^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2022820820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1554170 + ... + 1555470.

It is an arithmetic number, because the mean of its divisors is an integer number (62954955).

Almost surely, 2^2022820820 is an apocalyptic number.

2022820820 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 2022820820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266378380).

2022820820 is an abundant number, since it is smaller than the sum of its proper divisors (2509935940).

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

2022820820 is a wasteful number, since it uses less digits than its factorization.

2022820820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 2022820820 is about 44975.7803712176. The cubic root of 2022820820 is about 1264.6950099771.

The spelling of 2022820820 in words is "two billion, twenty-two million, eight hundred twenty thousand, eight hundred twenty".