2217420 has 72 divisors (see below), whose sum is σ = 6849024. Its totient is φ = 580608.

The previous prime is 2217409. The next prime is 2217421. The reversal of 2217420 is 247122.

2217420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2217393 and 2217402.

It is not an unprimeable number, because it can be changed into a prime (2217421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17397 + ... + 17523.

2^2217420 is an apocalyptic number.

2217420 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 2217420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424512).

2217420 is an abundant number, since it is smaller than the sum of its proper divisors (4631604).

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

2217420 is a wasteful number, since it uses less digits than its factorization.

2217420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2217420 is about 1489.1003995702. The cubic root of 2217420 is about 130.4015199241.

The spelling of 2217420 in words is "two million, two hundred seventeen thousand, four hundred twenty".