2013382080 has 504 divisors, whose sum is σ = 7663677840. Its totient is φ = 484638720.

The previous prime is 2013382013. The next prime is 2013382081. The reversal of 2013382080 is 802833102.

2013382080 is a `hidden beast` number, since 201 + 3 + 382 + 0 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013382081) 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 71 ways as a sum of consecutive naturals, for example, 34125091 + ... + 34125149.

It is an arithmetic number, because the mean of its divisors is an integer number (15205710).

Almost surely, 2^2013382080 is an apocalyptic number.

2013382080 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 2013382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831838920).

2013382080 is an abundant number, since it is smaller than the sum of its proper divisors (5650295760).

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

2013382080 is a wasteful number, since it uses less digits than its factorization.

2013382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2013382080 is about 44870.7263146029. The cubic root of 2013382080 is about 1262.7248663933.

The spelling of 2013382080 in words is "two billion, thirteen million, three hundred eighty-two thousand, eighty".