2013580800 has 720 divisors, whose sum is σ = 9023743872. Its totient is φ = 416563200.

The previous prime is 2013580799. The next prime is 2013580813. The reversal of 2013580800 is 80853102.

It is a happy number.

2013580800 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 580 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8870287 + ... + 8870513.

Almost surely, 2^2013580800 is an apocalyptic number.

2013580800 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 2013580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511871936).

2013580800 is an abundant number, since it is smaller than the sum of its proper divisors (7010163072).

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

2013580800 is a wasteful number, since it uses less digits than its factorization.

2013580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2013580800 is about 44872.9406212697. The cubic root of 2013580800 is about 1262.7664085051.

The spelling of 2013580800 in words is "two billion, thirteen million, five hundred eighty thousand, eight hundred".