2013660800 has 192 divisors, whose sum is σ = 5245378560. Its totient is φ = 762777600.

The previous prime is 2013660743. The next prime is 2013660821. The reversal of 2013660800 is 80663102.

It is a self number, because there is not a number n which added to its sum of digits gives 2013660800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5257409 + ... + 5257791.

It is an arithmetic number, because the mean of its divisors is an integer number (27319680).

Almost surely, 2^2013660800 is an apocalyptic number.

2013660800 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 2013660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622689280).

2013660800 is an abundant number, since it is smaller than the sum of its proper divisors (3231717760).

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

2013660800 is a wasteful number, since it uses less digits than its factorization.

2013660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2013660800 is about 44873.8320182264. The cubic root of 2013660800 is about 1262.7831316110.

The spelling of 2013660800 in words is "two billion, thirteen million, six hundred sixty thousand, eight hundred".