2535312 has 80 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 731136.

The previous prime is 2535307. The next prime is 2535319. The reversal of 2535312 is 2135352.

2535312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (2535319) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10489 + ... + 10727.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

2^2535312 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 2535312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2535312 is an abundant number, since it is smaller than the sum of its proper divisors (4964208).

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

2535312 is a wasteful number, since it uses less digits than its factorization.

2535312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its digits is 900, while the sum is 21.

The square root of 2535312 is about 1592.2663093842. The cubic root of 2535312 is about 136.3569056880.

It can be divided in two parts, 253 and 5312, that added together give a triangular number (5565 = T₁₀₅).

The spelling of 2535312 in words is "two million, five hundred thirty-five thousand, three hundred twelve".