2013719040 has 240 divisors, whose sum is σ = 7078046976. Its totient is φ = 528998400.

The previous prime is 2013719027. The next prime is 2013719041. The reversal of 2013719040 is 409173102.

2013719040 is a `hidden beast` number, since 201 + 371 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 2013718995 and 2013719013.

It is not an unprimeable number, because it can be changed into a prime (2013719041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1635225 + ... + 1636455.

Almost surely, 2^2013719040 is an apocalyptic number.

2013719040 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 2013719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539023488).

2013719040 is an abundant number, since it is smaller than the sum of its proper divisors (5064327936).

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

2013719040 is a wasteful number, since it uses less digits than its factorization.

2013719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2013719040 is about 44874.4809440733. The cubic root of 2013719040 is about 1262.7953057535.

The spelling of 2013719040 in words is "two billion, thirteen million, seven hundred nineteen thousand, forty".