2014560 has 72 divisors (see below), whose sum is σ = 6879600. Its totient is φ = 536832.

The previous prime is 2014559. The next prime is 2014567. The reversal of 2014560 is 654102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 741 + ... + 2139.

It is an arithmetic number, because the mean of its divisors is an integer number (95550).

2^2014560 is an apocalyptic number.

2014560 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 2014560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439800).

2014560 is an abundant number, since it is smaller than the sum of its proper divisors (4865040).

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

2014560 is a wasteful number, since it uses less digits than its factorization.

2014560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2014560 is about 1419.3519648065. The cubic root of 2014560 is about 126.2971068860.

Adding to 2014560 its reverse (654102), we get a palindrome (2668662).

It can be divided in two parts, 201 and 4560, that added together give a square (4761 = 69²).

The spelling of 2014560 in words is "two million, fourteen thousand, five hundred sixty".