2000552632960 has 384 divisors, whose sum is σ = 5916391516800. Its totient is φ = 631448027136.

The previous prime is 2000552632943. The next prime is 2000552632963. The reversal of 2000552632960 is 692362550002.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2000552632963) 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 47 ways as a sum of consecutive naturals, for example, 2510103282 + ... + 2510104078.

It is an arithmetic number, because the mean of its divisors is an integer number (15407269575).

Almost surely, 2^{2000552632960} is an apocalyptic number.

2000552632960 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 2000552632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958195758400).

2000552632960 is an abundant number, since it is smaller than the sum of its proper divisors (3915838883840).

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

2000552632960 is an frugal number, since it uses more digits than its factorization.

2000552632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 2000552632960 in words is "two trillion, five hundred fifty-two million, six hundred thirty-two thousand, nine hundred sixty".