2018245824 has 336 divisors, whose sum is σ = 6955227136. Its totient is φ = 547430400.

The previous prime is 2018245813. The next prime is 2018245849. The reversal of 2018245824 is 4285428102.

2018245824 is a `hidden beast` number, since 2 + 0 + 182 + 458 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8374344 + ... + 8374584.

Almost surely, 2^2018245824 is an apocalyptic number.

2018245824 is a gapful number since it is divisible by the number (24) 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 2018245824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477613568).

2018245824 is an abundant number, since it is smaller than the sum of its proper divisors (4936981312).

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

2018245824 is a wasteful number, since it uses less digits than its factorization.

2018245824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2018245824 is about 44924.8909180646. The cubic root of 2018245824 is about 1263.7408404212.

The spelling of 2018245824 in words is "two billion, eighteen million, two hundred forty-five thousand, eight hundred twenty-four".