2013852800 has 96 divisors (see below), whose sum is σ = 5146629300. Its totient is φ = 777728000.

The previous prime is 2013852773. The next prime is 2013852803. The reversal of 2013852800 is 82583102.

It can be written as a sum of positive squares in 6 ways, for example, as 1178411584 + 835441216 = 34328^2 + 28904^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (2013852803) 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 11 ways as a sum of consecutive naturals, for example, 81950 + ... + 103650.

Almost surely, 2^2013852800 is an apocalyptic number.

2013852800 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 2013852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573314650).

2013852800 is an abundant number, since it is smaller than the sum of its proper divisors (3132776500).

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

2013852800 is a wasteful number, since it uses less digits than its factorization.

2013852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21754 (or 21737 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 2013852800 is about 44875.9712986805. The cubic root of 2013852800 is about 1262.8232652581.

The spelling of 2013852800 in words is "two billion, thirteen million, eight hundred fifty-two thousand, eight hundred".