2211111000 has 256 divisors, whose sum is σ = 8760960000. Its totient is φ = 505353600.

The previous prime is 2211110983. The next prime is 2211111029. The reversal of 2211111000 is 1111122.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183151 + ... + 194849.

It is an arithmetic number, because the mean of its divisors is an integer number (34222500).

Almost surely, 2^2211111000 is an apocalyptic number.

2211111000 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 2211111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380480000).

2211111000 is an abundant number, since it is smaller than the sum of its proper divisors (6549849000).

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

2211111000 is a wasteful number, since it uses less digits than its factorization.

2211111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11736 (or 11716 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2211111000 is about 47022.4520840843. The cubic root of 2211111000 is about 1302.7772971200. Note that the first 3 decimals are identical.

Adding to 2211111000 its reverse (1111122), we get a palindrome (2212222122).

It can be divided in two parts, 221111 and 1000, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 2211111000 in words is "two billion, two hundred eleven million, one hundred eleven thousand".