2860560 has 120 divisors (see below), whose sum is σ = 10010520. Its totient is φ = 731136.

The previous prime is 2860553. The next prime is 2860567. The reversal of 2860560 is 650682.

It is an interprime number because it is at equal distance from previous prime (2860553) and next prime (2860567).

It can be written as a sum of positive squares in 4 ways, for example, as 389376 + 2471184 = 624^2 + 1572^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (2860567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20812 + ... + 20948.

It is an arithmetic number, because the mean of its divisors is an integer number (83421).

2^2860560 is an apocalyptic number.

2860560 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 2860560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5005260).

2860560 is an abundant number, since it is smaller than the sum of its proper divisors (7149960).

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

2860560 is a wasteful number, since it uses less digits than its factorization.

2860560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2860560 is about 1691.3190118957. The cubic root of 2860560 is about 141.9548887981.

The spelling of 2860560 in words is "two million, eight hundred sixty thousand, five hundred sixty".