2504832 has 64 divisors (see below), whose sum is σ = 7270560. Its totient is φ = 757760.

The previous prime is 2504819. The next prime is 2504837. The reversal of 2504832 is 2384052.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2504837) 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 7 ways as a sum of consecutive naturals, for example, 3928 + ... + 4520.

2^2504832 is an apocalyptic number.

2504832 is a gapful number since it is divisible by the number (22) 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 2504832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635280).

2504832 is an abundant number, since it is smaller than the sum of its proper divisors (4765728).

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

2504832 is a wasteful number, since it uses less digits than its factorization.

2504832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2504832 is about 1582.6661050266. Note that the first 3 decimals coincide. The cubic root of 2504832 is about 135.8082649947.

Adding to 2504832 its reverse (2384052), we get a palindrome (4888884).

The spelling of 2504832 in words is "two million, five hundred four thousand, eight hundred thirty-two".