2813760 has 84 divisors (see below), whose sum is σ = 9688068. Its totient is φ = 749568.

The previous prime is 2813737. The next prime is 2813807. The reversal of 2813760 is 673182.

2813760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 876096 = 1392^2 + 936^2 .

It is an Ulam number.

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 11 ways as a sum of consecutive naturals, for example, 2392 + ... + 3368.

2^2813760 is an apocalyptic number.

2813760 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 2813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844034).

2813760 is an abundant number, since it is smaller than the sum of its proper divisors (6874308).

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

2813760 is a wasteful number, since it uses less digits than its factorization.

2813760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2813760 is about 1677.4266004806. The cubic root of 2813760 is about 141.1764803922.

The spelling of 2813760 in words is "two million, eight hundred thirteen thousand, seven hundred sixty".