2505003504 has 80 divisors (see below), whose sum is σ = 6598006272. Its totient is φ = 818763264.

The previous prime is 2505003503. The next prime is 2505003511. The reversal of 2505003504 is 4053005052.

2505003504 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505003503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747657 + ... + 750999.

Almost surely, 2^2505003504 is an apocalyptic number.

2505003504 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 2505003504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299003136).

2505003504 is an abundant number, since it is smaller than the sum of its proper divisors (4093002768).

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

2505003504 is a wasteful number, since it uses less digits than its factorization.

2505003504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 2505003504 is about 50050.0100299690. The cubic root of 2505003504 is about 1358.1136448787.

Adding to 2505003504 its reverse (4053005052), we get a palindrome (6558008556).

The spelling of 2505003504 in words is "two billion, five hundred five million, three thousand, five hundred four".