2240720 has 40 divisors (see below), whose sum is σ = 5357544. Its totient is φ = 870912.

The previous prime is 2240701. The next prime is 2240723. The reversal of 2240720 is 270422.

It can be written as a sum of positive squares in 4 ways, for example, as 732736 + 1507984 = 856^2 + 1228^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2240720² = 10041652236800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2582 + ... + 3338.

2^2240720 is an apocalyptic number.

2240720 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 2240720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678772).

2240720 is an abundant number, since it is smaller than the sum of its proper divisors (3116824).

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

2240720 is a wasteful number, since it uses less digits than its factorization.

2240720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 2240720 is about 1496.9034705017. The cubic root of 2240720 is about 130.8566697614.

The spelling of 2240720 in words is "two million, two hundred forty thousand, seven hundred twenty".