2013031440 has 280 divisors, whose sum is σ = 8021325888. Its totient is φ = 460028160.

The previous prime is 2013031439. The next prime is 2013031451. The reversal of 2013031440 is 441303102.

It is a tau number, because it is divible by the number of its divisors (280).

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 (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 405775 + ... + 410705.

Almost surely, 2^2013031440 is an apocalyptic number.

2013031440 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 2013031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010662944).

2013031440 is an abundant number, since it is smaller than the sum of its proper divisors (6008294448).

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

2013031440 is an equidigital number, since it uses as much as digits as its factorization.

2013031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4969 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2013031440 is about 44866.8189199992. The cubic root of 2013031440 is about 1262.6515589708.

Adding to 2013031440 its reverse (441303102), we get a palindrome (2454334542).

The spelling of 2013031440 in words is "two billion, thirteen million, thirty-one thousand, four hundred forty".