2013265440 has 288 divisors, whose sum is σ = 7260140160. Its totient is φ = 507015168.

The previous prime is 2013265439. The next prime is 2013265453. The reversal of 2013265440 is 445623102.

2013265440 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 2 + 654 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×2013265440⁴ (a number of 38 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2947339 + ... + 2948021.

It is an arithmetic number, because the mean of its divisors is an integer number (25208820).

Almost surely, 2^2013265440 is an apocalyptic number.

2013265440 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 2013265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630070080).

2013265440 is an abundant number, since it is smaller than the sum of its proper divisors (5246874720).

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

2013265440 is a wasteful number, since it uses less digits than its factorization.

2013265440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2013265440 is about 44869.4265619698. The cubic root of 2013265440 is about 1262.7004817068.

Adding to 2013265440 its reverse (445623102), we get a palindrome (2458888542).

The spelling of 2013265440 in words is "two billion, thirteen million, two hundred sixty-five thousand, four hundred forty".