2813940 has 84 divisors (see below), whose sum is σ = 8905764. Its totient is φ = 746496.

The previous prime is 2813927. The next prime is 2813947. The reversal of 2813940 is 493182.

It can be written as a sum of positive squares in 2 ways, for example, as 842724 + 1971216 = 918^2 + 1404^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813947) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14484 + ... + 14676.

It is an arithmetic number, because the mean of its divisors is an integer number (106021).

2^2813940 is an apocalyptic number.

2813940 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 2813940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452882).

2813940 is an abundant number, since it is smaller than the sum of its proper divisors (6091824).

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

2813940 is a wasteful number, since it uses less digits than its factorization.

2813940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2813940 is about 1677.4802532370. The cubic root of 2813940 is about 141.1794907442.

The spelling of 2813940 in words is "two million, eight hundred thirteen thousand, nine hundred forty".