2505042504 has 64 divisors (see below), whose sum is σ = 7198416000. Its totient is φ = 806218560.

The previous prime is 2505042467. The next prime is 2505042541. The reversal of 2505042504 is 4052405052.

2505042504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2505042467) and next prime (2505042541).

It is a super-3 number, since 3×2505042504³ (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193692 + ... + 206219.

It is an arithmetic number, because the mean of its divisors is an integer number (112475250).

Almost surely, 2^2505042504 is an apocalyptic number.

2505042504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2505042504 is an abundant number, since it is smaller than the sum of its proper divisors (4693373496).

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

2505042504 is a wasteful number, since it uses less digits than its factorization.

2505042504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399955 (or 399945 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2505042504 is about 50050.3996387641. The cubic root of 2505042504 is about 1358.1206929270.

Adding to 2505042504 its reverse (4052405052), we get a palindrome (6557447556).

The spelling of 2505042504 in words is "two billion, five hundred five million, forty-two thousand, five hundred four".