2778560 has 56 divisors (see below), whose sum is σ = 6979920. Its totient is φ = 1050624.

The previous prime is 2778547. The next prime is 2778583. The reversal of 2778560 is 658772.

It is a self number, because there is not a number n which added to its sum of digits gives 2778560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5852 + ... + 6308.

2^2778560 is an apocalyptic number.

2778560 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 2778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489960).

2778560 is an abundant number, since it is smaller than the sum of its proper divisors (4201360).

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

2778560 is a wasteful number, since it uses less digits than its factorization.

With its successor (2778561) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (493).

2778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 2778560 is about 1666.9013168151. The cubic root of 2778560 is about 140.5853046807.

It can be divided in two parts, 27 and 78560, that added together give a palindrome (78587).

The spelling of 2778560 in words is "two million, seven hundred seventy-eight thousand, five hundred sixty".