2013887520 has 144 divisors (see below), whose sum is σ = 7234194240. Its totient is φ = 508764672.

The previous prime is 2013887509. The next prime is 2013887527. The reversal of 2013887520 is 257883102.

2013887520 is a `hidden beast` number, since 20 + 1 + 38 + 87 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2013887527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9444 + ... + 64163.

It is an arithmetic number, because the mean of its divisors is an integer number (50237460).

Almost surely, 2^2013887520 is an apocalyptic number.

2013887520 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 2013887520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617097120).

2013887520 is an abundant number, since it is smaller than the sum of its proper divisors (5220306720).

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

2013887520 is a wasteful number, since it uses less digits than its factorization.

2013887520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73647 (or 73636 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2013887520 is about 44876.3581410078. The cubic root of 2013887520 is about 1262.8305224869.

The spelling of 2013887520 in words is "two billion, thirteen million, eight hundred eighty-seven thousand, five hundred twenty".