2013540 has 48 divisors (see below), whose sum is σ = 5796672. Its totient is φ = 521856.

The previous prime is 2013533. The next prime is 2013541. The reversal of 2013540 is 453102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2013541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1767 + ... + 2673.

It is an arithmetic number, because the mean of its divisors is an integer number (120764).

2^2013540 is an apocalyptic number.

2013540 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 2013540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898336).

2013540 is an abundant number, since it is smaller than the sum of its proper divisors (3783132).

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

2013540 is a wasteful number, since it uses less digits than its factorization.

2013540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2013540 is about 1418.9926004035. The cubic root of 2013540 is about 126.2757879551.

Adding to 2013540 its reverse (453102), we get a palindrome (2466642).

It can be divided in two parts, 201 and 3540, that added together give a triangular number (3741 = T₈₆).

The spelling of 2013540 in words is "two million, thirteen thousand, five hundred forty".