2182560 has 48 divisors (see below), whose sum is σ = 6876576. Its totient is φ = 581888.

The previous prime is 2182559. The next prime is 2182561. The reversal of 2182560 is 652812.

It is an interprime number because it is at equal distance from previous prime (2182559) and next prime (2182561).

It is a tau number, because it is divible by the number of its divisors (48).

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 2182560.

It is not an unprimeable number, because it can be changed into a prime (2182561) 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, 1794 + ... + 2753.

It is an arithmetic number, because the mean of its divisors is an integer number (143262).

2^2182560 is an apocalyptic number.

2182560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2182560 is an abundant number, since it is smaller than the sum of its proper divisors (4694016).

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

2182560 is a wasteful number, since it uses less digits than its factorization.

2182560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4565 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2182560 is about 1477.3489770532. The cubic root of 2182560 is about 129.7145611019.

The spelling of 2182560 in words is "two million, one hundred eighty-two thousand, five hundred sixty".