2211888 has 80 divisors (see below), whose sum is σ = 6785280. Its totient is φ = 607488.

The previous prime is 2211883. The next prime is 2211889. The reversal of 2211888 is 8881122.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (2211883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9631 + ... + 9857.

It is an arithmetic number, because the mean of its divisors is an integer number (84816).

2^2211888 is an apocalyptic number.

2211888 is a gapful number since it is divisible by the number (28) 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 2211888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392640).

2211888 is an abundant number, since it is smaller than the sum of its proper divisors (4573392).

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

2211888 is a wasteful number, since it uses less digits than its factorization.

2211888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its digits is 2048, while the sum is 30.

The square root of 2211888 is about 1487.2417422867. The cubic root of 2211888 is about 130.2929880959.

The spelling of 2211888 in words is "two million, two hundred eleven thousand, eight hundred eighty-eight".