2000799360 has 768 divisors, whose sum is σ = 8790768000. Its totient is φ = 427327488.

The previous prime is 2000799337. The next prime is 2000799373. The reversal of 2000799360 is 639970002.

2000799360 is a `hidden beast` number, since 200 + 0 + 7 + 99 + 360 = 666.

It is a super-3 number, since 3×2000799360³ (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14394171 + ... + 14394309.

Almost surely, 2^2000799360 is an apocalyptic number.

2000799360 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 2000799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395384000).

2000799360 is an abundant number, since it is smaller than the sum of its proper divisors (6789968640).

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

2000799360 is a wasteful number, since it uses less digits than its factorization.

2000799360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 2000799360 is about 44730.2957736700. The cubic root of 2000799360 is about 1260.0888826188.

The spelling of 2000799360 in words is "two billion, seven hundred ninety-nine thousand, three hundred sixty".