2018724840 has 384 divisors, whose sum is σ = 7666513920. Its totient is φ = 455270400.

The previous prime is 2018724811. The next prime is 2018724853. The reversal of 2018724840 is 484278102.

2018724840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2018724795 and 2018724804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10569145 + ... + 10569335.

It is an arithmetic number, because the mean of its divisors is an integer number (19964880).

Almost surely, 2^2018724840 is an apocalyptic number.

2018724840 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 2018724840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833256960).

2018724840 is an abundant number, since it is smaller than the sum of its proper divisors (5647789080).

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

2018724840 is a wasteful number, since it uses less digits than its factorization.

2018724840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2018724840 is about 44930.2219001865. The cubic root of 2018724840 is about 1263.8408124182.

The spelling of 2018724840 in words is "two billion, eighteen million, seven hundred twenty-four thousand, eight hundred forty".