2524032 has 96 divisors (see below), whose sum is σ = 8327280. Its totient is φ = 718848.

The previous prime is 2524031. The next prime is 2524033. The reversal of 2524032 is 2304252.

It is an interprime number because it is at equal distance from previous prime (2524031) and next prime (2524033).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 2⁵ + 5⁹ + 2⁹ + 4⁹ + 0 + 3¹¹ + 2¹⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 2523996 and 2524014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2524031) 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 11 ways as a sum of consecutive naturals, for example, 7908 + ... + 8220.

2^2524032 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 2524032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163640).

2524032 is an abundant number, since it is smaller than the sum of its proper divisors (5803248).

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

2524032 is a wasteful number, since it uses less digits than its factorization.

2524032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2524032 is about 1588.7202396898. The cubic root of 2524032 is about 136.1543806283.

Adding to 2524032 its reverse (2304252), we get a palindrome (4828284).

It can be divided in two parts, 252403 and 2, that added together give a triangular number (252405 = T₇₁₀).

The spelling of 2524032 in words is "two million, five hundred twenty-four thousand, thirty-two".