2605128 has 64 divisors (see below), whose sum is σ = 7128000. Its totient is φ = 790272.

The previous prime is 2605103. The next prime is 2605139. The reversal of 2605128 is 8215062.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2605098 and 2605107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13126 + ... + 13322.

It is an arithmetic number, because the mean of its divisors is an integer number (111375).

2^2605128 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 2605128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564000).

2605128 is an abundant number, since it is smaller than the sum of its proper divisors (4522872).

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

2605128 is a wasteful number, since it uses less digits than its factorization.

2605128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2605128 is about 1614.0408916753. The cubic root of 2605128 is about 137.5972293024.

The spelling of 2605128 in words is "two million, six hundred five thousand, one hundred twenty-eight".