2213010020 has 144 divisors (see below), whose sum is σ = 5486174064. Its totient is φ = 742809600.

The previous prime is 2213010017. The next prime is 2213010031. The reversal of 2213010020 is 200103122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 113720896 + 2099289124 = 10664^2 + 45818^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2213009983 and 2213010010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4247360 + ... + 4247880.

It is an arithmetic number, because the mean of its divisors is an integer number (38098431).

Almost surely, 2^2213010020 is an apocalyptic number.

2213010020 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 2213010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743087032).

2213010020 is an abundant number, since it is smaller than the sum of its proper divisors (3273164044).

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

2213010020 is a wasteful number, since it uses less digits than its factorization.

2213010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2213010020 is about 47042.6404446009. The cubic root of 2213010020 is about 1303.1501552613.

Adding to 2213010020 its reverse (200103122), we get a palindrome (2413113142).

The spelling of 2213010020 in words is "two billion, two hundred thirteen million, ten thousand, twenty".