2026132128 has 72 divisors (see below), whose sum is σ = 5780249748. Its totient is φ = 673216512.

The previous prime is 2026132117. The next prime is 2026132133. The reversal of 2026132128 is 8212316202.

2026132128 is a `hidden beast` number, since 2 + 0 + 2 + 613 + 21 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2026080144 + 51984 = 45012^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2026132128² = 8210422800227616768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80200 + ... + 102392.

Almost surely, 2^2026132128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2026132128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890124874).

2026132128 is an abundant number, since it is smaller than the sum of its proper divisors (3754117620).

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

2026132128 is a wasteful number, since it uses less digits than its factorization.

2026132128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22526 (or 22515 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2026132128 is about 45012.5774423105. The cubic root of 2026132128 is about 1265.3847253212.

The spelling of 2026132128 in words is "two billion, twenty-six million, one hundred thirty-two thousand, one hundred twenty-eight".