2013852560 has 80 divisors (see below), whose sum is σ = 4940040960. Its totient is φ = 761379840.

The previous prime is 2013852557. The next prime is 2013852563. The reversal of 2013852560 is 652583102.

It is an interprime number because it is at equal distance from previous prime (2013852557) and next prime (2013852563).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2013852563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790649 + ... + 793191.

It is an arithmetic number, because the mean of its divisors is an integer number (61750512).

Almost surely, 2^2013852560 is an apocalyptic number.

2013852560 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 2013852560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470020480).

2013852560 is an abundant number, since it is smaller than the sum of its proper divisors (2926188400).

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

2013852560 is a wasteful number, since it uses less digits than its factorization.

2013852560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 2013852560 is about 44875.9686246436. The cubic root of 2013852560 is about 1262.8232150926.

The spelling of 2013852560 in words is "two billion, thirteen million, eight hundred fifty-two thousand, five hundred sixty".