2018001600 has 420 divisors, whose sum is σ = 7751606544. Its totient is φ = 513976320.

The previous prime is 2018001589. The next prime is 2018001607. The reversal of 2018001600 is 61008102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2018001607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2980462 + ... + 2981138.

Almost surely, 2^2018001600 is an apocalyptic number.

2018001600 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 2018001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875803272).

2018001600 is an abundant number, since it is smaller than the sum of its proper divisors (5733604944).

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

2018001600 is a wasteful number, since it uses less digits than its factorization.

2018001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2018001600 is about 44922.1726990136. The cubic root of 2018001600 is about 1263.6898640916.

Adding to 2018001600 its reverse (61008102), we get a palindrome (2079009702).

The spelling of 2018001600 in words is "two billion, eighteen million, one thousand, six hundred".