2020531128 has 256 divisors, whose sum is σ = 6593495040. Its totient is φ = 500774400.

The previous prime is 2020531109. The next prime is 2020531129. The reversal of 2020531128 is 8211350202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2020531098 and 2020531107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020531129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3734538 + ... + 3735078.

It is an arithmetic number, because the mean of its divisors is an integer number (25755840).

Almost surely, 2^2020531128 is an apocalyptic number.

2020531128 is a gapful number since it is divisible by the number (28) 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 2020531128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296747520).

2020531128 is an abundant number, since it is smaller than the sum of its proper divisors (4572963912).

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

2020531128 is a wasteful number, since it uses less digits than its factorization.

2020531128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2020531128 is about 44950.3184415862. The cubic root of 2020531128 is about 1264.2176476544.

The spelling of 2020531128 in words is "two billion, twenty million, five hundred thirty-one thousand, one hundred twenty-eight".