2018442240 has 440 divisors, whose sum is σ = 7513832832. Its totient is φ = 517570560.

The previous prime is 2018442227. The next prime is 2018442263. The reversal of 2018442240 is 422448102.

2018442240 is a `hidden beast` number, since 20 + 184 + 422 + 40 = 666.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12856242 + ... + 12856398.

Almost surely, 2^2018442240 is an apocalyptic number.

2018442240 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 2018442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756916416).

2018442240 is an abundant number, since it is smaller than the sum of its proper divisors (5495390592).

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

2018442240 is a wasteful number, since it uses less digits than its factorization.

2018442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2018442240 is about 44927.0769135941. The cubic root of 2018442240 is about 1263.7818349103.

The spelling of 2018442240 in words is "two billion, eighteen million, four hundred forty-two thousand, two hundred forty".