2013840 has 60 divisors (see below), whose sum is σ = 6765564. Its totient is φ = 536832.

The previous prime is 2013833. The next prime is 2013859. The reversal of 2013840 is 483102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 898704 = 1056^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 679 + ... + 2118.

2^2013840 is an apocalyptic number.

2013840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013840 is an abundant number, since it is smaller than the sum of its proper divisors (4751724).

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

2013840 is a wasteful number, since it uses less digits than its factorization.

2013840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2013840 is about 1419.0983052629. The cubic root of 2013840 is about 126.2820589761.

Adding to 2013840 its reverse (483102), we get a palindrome (2496942).

The spelling of 2013840 in words is "two million, thirteen thousand, eight hundred forty".