2282560 has 56 divisors (see below), whose sum is σ = 6217920. Its totient is φ = 781824.

The previous prime is 2282549. The next prime is 2282587. The reversal of 2282560 is 652822.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 1731 + ... + 2749.

2^2282560 is an apocalyptic number.

2282560 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 2282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108960).

2282560 is an abundant number, since it is smaller than the sum of its proper divisors (3935360).

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

2282560 is a wasteful number, since it uses less digits than its factorization.

2282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2282560 is about 1510.8143499451. The cubic root of 2282560 is about 131.6661290013. Note that the first 3 decimals are identical.

The spelling of 2282560 in words is "two million, two hundred eighty-two thousand, five hundred sixty".