2000575200 has 288 divisors, whose sum is σ = 7206476256. Its totient is φ = 478863360.

The previous prime is 2000575183. The next prime is 2000575201. The reversal of 2000575200 is 25750002.

It is a super-2 number, since 2×2000575200² = 8004602261710080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000575201) 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, 1153534 + ... + 1155266.

It is an arithmetic number, because the mean of its divisors is an integer number (25022487).

Almost surely, 2^2000575200 is an apocalyptic number.

2000575200 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 2000575200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603238128).

2000575200 is an abundant number, since it is smaller than the sum of its proper divisors (5205901056).

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

2000575200 is a wasteful number, since it uses less digits than its factorization.

2000575200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 2000575200 is about 44727.7900191816. The cubic root of 2000575200 is about 1260.0418227488.

The spelling of 2000575200 in words is "two billion, five hundred seventy-five thousand, two hundred".