2000575120400 has 120 divisors (see below), whose sum is σ = 4919233285824. Its totient is φ = 781449177600.

The previous prime is 2000575120367. The next prime is 2000575120403. The reversal of 2000575120400 is 40215750002.

It is a self number, because there is not a number n which added to its sum of digits gives 2000575120400.

It is not an unprimeable number, because it can be changed into a prime (2000575120403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102863477 + ... + 102882923.

Almost surely, 2^{2000575120400} is an apocalyptic number.

2000575120400 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 2000575120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459616642912).

2000575120400 is an abundant number, since it is smaller than the sum of its proper divisors (2918658165424).

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

2000575120400 is a wasteful number, since it uses less digits than its factorization.

2000575120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25489 (or 25478 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The spelling of 2000575120400 in words is "two trillion, five hundred seventy-five million, one hundred twenty thousand, four hundred".