2013440 has 108 divisors (see below), whose sum is σ = 5708892. Its totient is φ = 675840.

The previous prime is 2013439. The next prime is 2013457. The reversal of 2013440 is 443102.

It can be written as a sum of positive squares in 2 ways, for example, as 495616 + 1517824 = 704^2 + 1232^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154874 + ... + 154886.

2^2013440 is an apocalyptic number.

2013440 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 2013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854446).

2013440 is an abundant number, since it is smaller than the sum of its proper divisors (3695452).

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

2013440 is a wasteful number, since it uses less digits than its factorization.

2013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2013440 is about 1418.9573637005. The cubic root of 2013440 is about 126.2736974763.

Adding to 2013440 its reverse (443102), we get a palindrome (2456542).

The spelling of 2013440 in words is "two million, thirteen thousand, four hundred forty".