2217000 has 64 divisors (see below), whose sum is σ = 6926400. Its totient is φ = 590400.

The previous prime is 2216999. The next prime is 2217001. The reversal of 2217000 is 7122.

It is an interprime number because it is at equal distance from previous prime (2216999) and next prime (2217001).

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

It is not an unprimeable number, because it can be changed into a prime (2217001) 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, 2631 + ... + 3369.

It is an arithmetic number, because the mean of its divisors is an integer number (108225).

2^2217000 is an apocalyptic number.

2217000 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 2217000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463200).

2217000 is an abundant number, since it is smaller than the sum of its proper divisors (4709400).

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

2217000 is a wasteful number, since it uses less digits than its factorization.

2217000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 2217000 is about 1488.9593681494. The cubic root of 2217000 is about 130.3932863168.

The spelling of 2217000 in words is "two million, two hundred seventeen thousand".