2211211020 has 96 divisors (see below), whose sum is σ = 6376237056. Its totient is φ = 572140800.

The previous prime is 2211210971. The next prime is 2211211033. The reversal of 2211211020 is 201121122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2211210987 and 2211211005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 955665 + ... + 957975.

It is an arithmetic number, because the mean of its divisors is an integer number (66419136).

Almost surely, 2^2211211020 is an apocalyptic number.

2211211020 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 2211211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188118528).

2211211020 is an abundant number, since it is smaller than the sum of its proper divisors (4165026036).

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

2211211020 is a wasteful number, since it uses less digits than its factorization.

2211211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2211211020 is about 47023.5156065558. The cubic root of 2211211020 is about 1302.7969406115.

Adding to 2211211020 its reverse (201121122), we get a palindrome (2412332142).

The spelling of 2211211020 in words is "two billion, two hundred eleven million, two hundred eleven thousand, twenty".