2815560 has 160 divisors (see below), whose sum is σ = 10454400. Its totient is φ = 673920.

The previous prime is 2815559. The next prime is 2815573. The reversal of 2815560 is 655182.

2815560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2815560² = 15854756227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35601 + ... + 35679.

It is an arithmetic number, because the mean of its divisors is an integer number (65340).

2^2815560 is an apocalyptic number.

2815560 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 2815560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227200).

2815560 is an abundant number, since it is smaller than the sum of its proper divisors (7638840).

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

2815560 is a wasteful number, since it uses less digits than its factorization.

2815560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2815560 is about 1677.9630508447. The cubic root of 2815560 is about 141.2065781376.

It can be divided in two parts, 2815 and 560, that added together give a cube (3375 = 15³).

The spelling of 2815560 in words is "two million, eight hundred fifteen thousand, five hundred sixty".