2000384568 has 192 divisors, whose sum is σ = 6731524800. Its totient is φ = 522547200.

The previous prime is 2000384563. The next prime is 2000384579. The reversal of 2000384568 is 8654830002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000384563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 712768 + ... + 715568.

It is an arithmetic number, because the mean of its divisors is an integer number (35060025).

Almost surely, 2^2000384568 is an apocalyptic number.

2000384568 is a gapful number since it is divisible by the number (28) 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 2000384568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365762400).

2000384568 is an abundant number, since it is smaller than the sum of its proper divisors (4731140232).

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

2000384568 is a wasteful number, since it uses less digits than its factorization.

2000384568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2000384568 is about 44725.6589442794. The cubic root of 2000384568 is about 1260.0017989392.

The spelling of 2000384568 in words is "two billion, three hundred eighty-four thousand, five hundred sixty-eight".