2538312 has 64 divisors (see below), whose sum is σ = 7516800. Its totient is φ = 698880.

The previous prime is 2538307. The next prime is 2538313. The reversal of 2538312 is 2138352.

2538312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (2538313) 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, 4612 + ... + 5132.

It is an arithmetic number, because the mean of its divisors is an integer number (117450).

2^2538312 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 2538312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758400).

2538312 is an abundant number, since it is smaller than the sum of its proper divisors (4978488).

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

2538312 is a wasteful number, since it uses less digits than its factorization.

2538312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 562 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 2538312 is about 1593.2080843380. The cubic root of 2538312 is about 136.4106675753.

It can be divided in two parts, 2538 and 312, that added together give a triangular number (2850 = T₇₅).

The spelling of 2538312 in words is "two million, five hundred thirty-eight thousand, three hundred twelve".