2216720 has 60 divisors (see below), whose sum is σ = 5689740. Its totient is φ = 802560.

The previous prime is 2216701. The next prime is 2216729. The reversal of 2216720 is 276122.

It can be written as a sum of positive squares in 2 ways, for example, as 1517824 + 698896 = 1232^2 + 836^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2216692 and 2216701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9566 + ... + 9794.

It is an arithmetic number, because the mean of its divisors is an integer number (94829).

2^2216720 is an apocalyptic number.

2216720 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 2216720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844870).

2216720 is an abundant number, since it is smaller than the sum of its proper divisors (3473020).

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

2216720 is a wasteful number, since it uses less digits than its factorization.

2216720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 2216720 is about 1488.8653397806. The cubic root of 2216720 is about 130.3877966675.

The spelling of 2216720 in words is "two million, two hundred sixteen thousand, seven hundred twenty".