2220100020 has 72 divisors (see below), whose sum is σ = 6761270880. Its totient is φ = 589656000.

The previous prime is 2220099997. The next prime is 2220100033. The reversal of 2220100020 is 200010222.

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

It is a junction number, because it is equal to n+sod(n) for n = 2220099975 and 2220100011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20611 + ... + 69749.

It is an arithmetic number, because the mean of its divisors is an integer number (93906540).

Almost surely, 2^2220100020 is an apocalyptic number.

2220100020 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 2220100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380635440).

2220100020 is an abundant number, since it is smaller than the sum of its proper divisors (4541170860).

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

2220100020 is a wasteful number, since it uses less digits than its factorization.

2220100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49405 (or 49400 counting only the distinct ones).

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

The square root of 2220100020 is about 47117.9373487423. The cubic root of 2220100020 is about 1304.5403410424.

Adding to 2220100020 its reverse (200010222), we get a palindrome (2420110242).

The spelling of 2220100020 in words is "two billion, two hundred twenty million, one hundred thousand, twenty".