2578128 has 40 divisors (see below), whose sum is σ = 7612608. Its totient is φ = 736512.

The previous prime is 2578117. The next prime is 2578133. The reversal of 2578128 is 8218752.

2578128 is nontrivially palindromic in base 15.

2578128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3501 + ... + 4172.

2^2578128 is an apocalyptic number.

2578128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2578128 is an abundant number, since it is smaller than the sum of its proper divisors (5034480).

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

2578128 is a wasteful number, since it uses less digits than its factorization.

2578128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7691 (or 7685 counting only the distinct ones).

The product of its digits is 8960, while the sum is 33.

The square root of 2578128 is about 1605.6550065316. The cubic root of 2578128 is about 137.1202169968.

It can be divided in two parts, 257 and 8128, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 2578128 in words is "two million, five hundred seventy-eight thousand, one hundred twenty-eight".