2013819360 has 192 divisors, whose sum is σ = 7296210432. Its totient is φ = 457353216.

The previous prime is 2013819347. The next prime is 2013819373. The reversal of 2013819360 is 639183102.

It is an interprime number because it is at equal distance from previous prime (2013819347) and next prime (2013819373).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545842 + ... + 549518.

It is an arithmetic number, because the mean of its divisors is an integer number (38001096).

Almost surely, 2^2013819360 is an apocalyptic number.

2013819360 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 2013819360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648105216).

2013819360 is an abundant number, since it is smaller than the sum of its proper divisors (5282391072).

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

2013819360 is a wasteful number, since it uses less digits than its factorization.

2013819360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 2013819360 is about 44875.5987146690. The cubic root of 2013819360 is about 1262.8162754980.

The spelling of 2013819360 in words is "two billion, thirteen million, eight hundred nineteen thousand, three hundred sixty".