2217888 has 96 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 691200.

The previous prime is 2217881. The next prime is 2217907. The reversal of 2217888 is 8887122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2217881) 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, 14613 + ... + 14763.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

2^2217888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2217888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2217888 is an abundant number, since it is smaller than the sum of its proper divisors (4676832).

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

2217888 is a wasteful number, since it uses less digits than its factorization.

2217888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 2217888 is about 1489.2575331352. The cubic root of 2217888 is about 130.4106932905.

The spelling of 2217888 in words is "two million, two hundred seventeen thousand, eight hundred eighty-eight".