2018384640 has 216 divisors, whose sum is σ = 7022023008. Its totient is φ = 535265280.

The previous prime is 2018384629. The next prime is 2018384671. The reversal of 2018384640 is 464838102.

2018384640 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 3 + 8 + 4 + 640 = 666.

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 = 2018384595 and 2018384604.

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, 2775957 + ... + 2776683.

Almost surely, 2^2018384640 is an apocalyptic number.

2018384640 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 2018384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511011504).

2018384640 is an abundant number, since it is smaller than the sum of its proper divisors (5003638368).

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

2018384640 is a wasteful number, since it uses less digits than its factorization.

2018384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2018384640 is about 44926.4358702090. The cubic root of 2018384640 is about 1263.7698133416.

The spelling of 2018384640 in words is "two billion, eighteen million, three hundred eighty-four thousand, six hundred forty".