2013021440 has 72 divisors (see below), whose sum is σ = 4833144288. Its totient is φ = 803317760.

The previous prime is 2013021407. The next prime is 2013021449. The reversal of 2013021440 is 441203102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013021449) 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, 626879 + ... + 630081.

It is an arithmetic number, because the mean of its divisors is an integer number (67127004).

Almost surely, 2^2013021440 is an apocalyptic number.

2013021440 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 2013021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416572144).

2013021440 is an abundant number, since it is smaller than the sum of its proper divisors (2820122848).

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

2013021440 is an equidigital number, since it uses as much as digits as its factorization.

2013021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2013021440 is about 44866.7074789314. The cubic root of 2013021440 is about 1262.6494681711.

Adding to 2013021440 its reverse (441203102), we get a palindrome (2454224542).

The spelling of 2013021440 in words is "two billion, thirteen million, twenty-one thousand, four hundred forty".