2722560 has 72 divisors (see below), whose sum is σ = 8707440. Its totient is φ = 724992.

The previous prime is 2722553. The next prime is 2722561. The reversal of 2722560 is 652272.

2722560 = 546² + 547² + ... + 554².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2722560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2722561) 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, 3486 + ... + 4194.

2^2722560 is an apocalyptic number.

2722560 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 2722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353720).

2722560 is an abundant number, since it is smaller than the sum of its proper divisors (5984880).

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

2722560 is an equidigital number, since it uses as much as digits as its factorization.

2722560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2722560 is about 1650.0181817180. The cubic root of 2722560 is about 139.6344203486.

The spelling of 2722560 in words is "two million, seven hundred twenty-two thousand, five hundred sixty".