2278720 has 28 divisors (see below), whose sum is σ = 5426964. Its totient is φ = 911360.

The previous prime is 2278709. The next prime is 2278729. The reversal of 2278720 is 278722.

It can be written as a sum of positive squares in 2 ways, for example, as 341056 + 1937664 = 584^2 + 1392^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2278729) 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 3 ways as a sum of consecutive naturals, for example, 3241 + ... + 3880.

2^2278720 is an apocalyptic number.

2278720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2278720 is an abundant number, since it is smaller than the sum of its proper divisors (3148244).

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

2278720 is an equidigital number, since it uses as much as digits as its factorization.

2278720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7138 (or 7128 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 2278720 is about 1509.5429771954. The cubic root of 2278720 is about 131.5922526335.

The spelling of 2278720 in words is "two million, two hundred seventy-eight thousand, seven hundred twenty".