2786560 has 72 divisors (see below), whose sum is σ = 7652736. Its totient is φ = 952320.

The previous prime is 2786551. The next prime is 2786561. The reversal of 2786560 is 656872.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2786561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8805 + ... + 9115.

It is an arithmetic number, because the mean of its divisors is an integer number (106288).

2^2786560 is an apocalyptic number.

2786560 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 2786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826368).

2786560 is an abundant number, since it is smaller than the sum of its proper divisors (4866176).

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

2786560 is an equidigital number, since it uses as much as digits as its factorization.

2786560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 2786560 is about 1669.2992541782. The cubic root of 2786560 is about 140.7200992949.

The spelling of 2786560 in words is "two million, seven hundred eighty-six thousand, five hundred sixty".