2000775840 has 288 divisors, whose sum is σ = 7382176704. Its totient is φ = 454164480.

The previous prime is 2000775823. The next prime is 2000775913. The reversal of 2000775840 is 485770002.

It is a super-3 number, since 3×2000775840³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6044475 + ... + 6044805.

It is an arithmetic number, because the mean of its divisors is an integer number (25632558).

Almost surely, 2^2000775840 is an apocalyptic number.

2000775840 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 2000775840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691088352).

2000775840 is an abundant number, since it is smaller than the sum of its proper divisors (5381400864).

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

2000775840 is a wasteful number, since it uses less digits than its factorization.

2000775840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 2000775840 is about 44730.0328638377. The cubic root of 2000775840 is about 1260.0839450245.

The spelling of 2000775840 in words is "two billion, seven hundred seventy-five thousand, eight hundred forty".