2020212000 has 288 divisors, whose sum is σ = 7593781104. Its totient is φ = 506880000.

The previous prime is 2020211957. The next prime is 2020212011. The reversal of 2020212000 is 2120202.

2020212000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 58430736 + 1961781264 = 7644^2 + 44292^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 610350 + ... + 613650.

Almost surely, 2^2020212000 is an apocalyptic number.

2020212000 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 2020212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796890552).

2020212000 is an abundant number, since it is smaller than the sum of its proper divisors (5573569104).

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

2020212000 is a wasteful number, since it uses less digits than its factorization.

2020212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2020212000 is about 44946.7685156564. The cubic root of 2020212000 is about 1264.1510861967.

Adding to 2020212000 its reverse (2120202), we get a palindrome (2022332202).

The spelling of 2020212000 in words is "two billion, twenty million, two hundred twelve thousand".