2771026128 has 120 divisors (see below), whose sum is σ = 8388728712. Its totient is φ = 848830464.

The previous prime is 2771026121. The next prime is 2771026151. The reversal of 2771026128 is 8216201772.

2771026128 is a `hidden beast` number, since 27 + 7 + 10 + 2 + 612 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 898704 + 2770127424 = 948^2 + 52632^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2771026092 and 2771026101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2771026121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433000 + ... + 439352.

Almost surely, 2^2771026128 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 2771026128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194364356).

2771026128 is an abundant number, since it is smaller than the sum of its proper divisors (5617702584).

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

2771026128 is a wasteful number, since it uses less digits than its factorization.

2771026128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 2771026128 is about 52640.5369273529. The cubic root of 2771026128 is about 1404.5812724503.

The spelling of 2771026128 in words is "two billion, seven hundred seventy-one million, twenty-six thousand, one hundred twenty-eight".