2818560 has 80 divisors (see below), whose sum is σ = 9035136. Its totient is φ = 749568.

The previous prime is 2818553. The next prime is 2818561. The reversal of 2818560 is 658182.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2818561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7497 + ... + 7863.

2^2818560 is an apocalyptic number.

2818560 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 2818560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517568).

2818560 is an abundant number, since it is smaller than the sum of its proper divisors (6216576).

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

2818560 is an equidigital number, since it uses as much as digits as its factorization.

2818560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 2818560 is about 1678.8567538656. The cubic root of 2818560 is about 141.2567125533.

Adding to 2818560 its product of nonzero digits (3840), we get a square (2822400 = 1680²).

The spelling of 2818560 in words is "two million, eight hundred eighteen thousand, five hundred sixty".