2018066400 has 432 divisors, whose sum is σ = 8439709824. Its totient is φ = 460961280.

The previous prime is 2018066387. The next prime is 2018066509. The reversal of 2018066400 is 46608102.

2018066400 is a `hidden beast` number, since 2 + 0 + 18 + 0 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 71 ways as a sum of consecutive naturals, for example, 1360059 + ... + 1361541.

Almost surely, 2^2018066400 is an apocalyptic number.

2018066400 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 2018066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219854912).

2018066400 is an abundant number, since it is smaller than the sum of its proper divisors (6421643424).

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

2018066400 is a wasteful number, since it uses less digits than its factorization.

2018066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2018066400 is about 44922.8939406179. The cubic root of 2018066400 is about 1263.7033900516.

The spelling of 2018066400 in words is "two billion, eighteen million, sixty-six thousand, four hundred".