2210720 has 48 divisors (see below), whose sum is σ = 5366088. Its totient is φ = 860160.

The previous prime is 2210653. The next prime is 2210723. The reversal of 2210720 is 270122.

It can be written as a sum of positive squares in 4 ways, for example, as 929296 + 1281424 = 964^2 + 1132^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2210695 and 2210704.

It is not an unprimeable number, because it can be changed into a prime (2210723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6392 + ... + 6728.

2^2210720 is an apocalyptic number.

2210720 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 2210720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683044).

2210720 is an abundant number, since it is smaller than the sum of its proper divisors (3155368).

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

2210720 is a wasteful number, since it uses less digits than its factorization.

2210720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 2210720 is about 1486.8490172173. The cubic root of 2210720 is about 130.2700500742.

Adding to 2210720 its reverse (270122), we get a palindrome (2480842).

The spelling of 2210720 in words is "two million, two hundred ten thousand, seven hundred twenty".