2536128 has 168 divisors, whose sum is σ = 9034272. Its totient is φ = 663552.

The previous prime is 2536123. The next prime is 2536133. The reversal of 2536128 is 8216352.

2536128 is a `hidden beast` number, since 2 + 536 + 128 = 666.

It is an interprime number because it is at equal distance from previous prime (2536123) and next prime (2536133).

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (2536123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68526 + ... + 68562.

2^2536128 is an apocalyptic number.

2536128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2536128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517136).

2536128 is an abundant number, since it is smaller than the sum of its proper divisors (6498144).

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

2536128 is a wasteful number, since it uses less digits than its factorization.

2536128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 66 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2536128 is about 1592.5225273132. The cubic root of 2536128 is about 136.3715331185.

It can be divided in two parts, 2 and 536128, that added together give a triangular number (536130 = T₁₀₃₅).

The spelling of 2536128 in words is "two million, five hundred thirty-six thousand, one hundred twenty-eight".