2128584745 has 12 divisors (see below), whose sum is σ = 2971330884. Its totient is φ = 1459600800.

The previous prime is 2128584743. The next prime is 2128584791. The reversal of 2128584745 is 5474858212.

It can be written as a sum of positive squares in 2 ways, for example, as 1108357264 + 1020227481 = 33292^2 + 31941^2 .

It is not a de Polignac number, because 2128584745 - 2¹ = 2128584743 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2128584695 and 2128584704.

It is not an unprimeable number, because it can be changed into a prime (2128584743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4343806 + ... + 4344295.

It is an arithmetic number, because the mean of its divisors is an integer number (247610907).

Almost surely, 2^2128584745 is an apocalyptic number.

It is an amenable number.

2128584745 is a deficient number, since it is larger than the sum of its proper divisors (842746139).

2128584745 is an equidigital number, since it uses as much as digits as its factorization.

2128584745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8688120 (or 8688113 counting only the distinct ones).

The product of its digits is 716800, while the sum is 46.

The square root of 2128584745 is about 46136.5879210849. The cubic root of 2128584745 is about 1286.3633216523.

It can be divided in two parts, 21285 and 84745, that added together give a triangular number (106030 = T₄₆₀).

The spelling of 2128584745 in words is "two billion, one hundred twenty-eight million, five hundred eighty-four thousand, seven hundred forty-five".