2077128 has 48 divisors (see below), whose sum is σ = 5959980. Its totient is φ = 651264.

The previous prime is 2077121. The next prime is 2077129. The reversal of 2077128 is 8217702.

It can be written as a sum of positive squares in 2 ways, for example, as 1695204 + 381924 = 1302^2 + 618^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2077121) 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, 376 + ... + 2072.

2^2077128 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 2077128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979990).

2077128 is an abundant number, since it is smaller than the sum of its proper divisors (3882852).

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

2077128 is a wasteful number, since it uses less digits than its factorization.

2077128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 2077128 is about 1441.2244793924. The cubic root of 2077128 is about 127.5913071452.

The spelling of 2077128 in words is "two million, seventy-seven thousand, one hundred twenty-eight".