2813440 has 80 divisors (see below), whose sum is σ = 7758432. Its totient is φ = 958464.

The previous prime is 2813423. The next prime is 2813441. The reversal of 2813440 is 443182.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813441) 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, 17842 + ... + 17998.

2^2813440 is an apocalyptic number.

2813440 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 2813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879216).

2813440 is an abundant number, since it is smaller than the sum of its proper divisors (4944992).

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

2813440 is an equidigital number, since it uses as much as digits as its factorization.

2813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2813440 is about 1677.3312135652. The cubic root of 2813440 is about 141.1711283382.

It can be divided in two parts, 281 and 3440, that added together give a square (3721 = 61²).

The spelling of 2813440 in words is "two million, eight hundred thirteen thousand, four hundred forty".