2202006820 has 48 divisors (see below), whose sum is σ = 4992000048. Its totient is φ = 811077120.

The previous prime is 2202006817. The next prime is 2202006841. The reversal of 2202006820 is 286002022.

It can be written as a sum of positive squares in 8 ways, for example, as 1090584576 + 1111422244 = 33024^2 + 33338^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2202006791 and 2202006800.

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 15 ways as a sum of consecutive naturals, for example, 99402 + ... + 119518.

It is an arithmetic number, because the mean of its divisors is an integer number (104000001).

Almost surely, 2^2202006820 is an apocalyptic number.

2202006820 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 2202006820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496000024).

2202006820 is an abundant number, since it is smaller than the sum of its proper divisors (2789993228).

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

2202006820 is a wasteful number, since it uses less digits than its factorization.

2202006820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20560 (or 20558 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2202006820 is about 46925.5454949647. The cubic root of 2202006820 is about 1300.9867892313.

Adding to 2202006820 its reverse (286002022), we get a palindrome (2488008842).

The spelling of 2202006820 in words is "two billion, two hundred two million, six thousand, eight hundred twenty".