2936128 has 28 divisors (see below), whose sum is σ = 6276340. Its totient is φ = 1354752.

The previous prime is 2936117. The next prime is 2936159. The reversal of 2936128 is 8216392.

It can be written as a sum of positive squares in 2 ways, for example, as 350464 + 2585664 = 592^2 + 1608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2936128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 933 + ... + 2596.

It is an arithmetic number, because the mean of its divisors is an integer number (224155).

2^2936128 is an apocalyptic number.

It is an amenable number.

2936128 is an abundant number, since it is smaller than the sum of its proper divisors (3340212).

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

2936128 is a wasteful number, since it uses less digits than its factorization.

2936128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 3544 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 2936128 is about 1713.5133498167. The cubic root of 2936128 is about 143.1940573671.

Subtracting from 2936128 its product of digits (5184), we obtain a square (2930944 = 1712²).

The spelling of 2936128 in words is "two million, nine hundred thirty-six thousand, one hundred twenty-eight".