2541328 has 20 divisors (see below), whose sum is σ = 5094540. Its totient is φ = 1226624.

The previous prime is 2541323. The next prime is 2541391. The reversal of 2541328 is 8231452.

It can be written as a sum of positive squares in 2 ways, for example, as 2166784 + 374544 = 1472^2 + 612^2 .

It is not an unprimeable number, because it can be changed into a prime (2541323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2275 + ... + 3202.

It is an arithmetic number, because the mean of its divisors is an integer number (254727).

2^2541328 is an apocalyptic number.

It is an amenable number.

2541328 is an abundant number, since it is smaller than the sum of its proper divisors (2553212).

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

2541328 is a wasteful number, since it uses less digits than its factorization.

2541328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5514 (or 5508 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 2541328 is about 1594.1543212625. The cubic root of 2541328 is about 136.4646735097.

It can be divided in two parts, 2 and 541328, that multiplied together give a triangular number (1082656 = T₁₄₇₁).

The spelling of 2541328 in words is "two million, five hundred forty-one thousand, three hundred twenty-eight".