2532384 has 60 divisors (see below), whose sum is σ = 7455294. Its totient is φ = 843264.

The previous prime is 2532349. The next prime is 2532389. The reversal of 2532384 is 4832352.

It can be written as a sum of positive squares in only one way, i.e., 1587600 + 944784 = 1260^2 + 972^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2532389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2104 + ... + 3080.

2^2532384 is an apocalyptic number.

2532384 is a gapful number since it is divisible by the number (24) 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 2532384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727647).

2532384 is an abundant number, since it is smaller than the sum of its proper divisors (4922910).

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

2532384 is an equidigital number, since it uses as much as digits as its factorization.

2532384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 982 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2532384 is about 1591.3465995816. The cubic root of 2532384 is about 136.3043931746.

Subtracting 2532384 from its reverse (4832352), we obtain a cube (2299968 = 132³).

It can be divided in two parts, 2532 and 384, that added together give a square (2916 = 54²).

The spelling of 2532384 in words is "two million, five hundred thirty-two thousand, three hundred eighty-four".