2505143424 has 192 divisors, whose sum is σ = 8009366400. Its totient is φ = 690923520.

The previous prime is 2505143359. The next prime is 2505143441. The reversal of 2505143424 is 4243415052.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2505143391 and 2505143400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543369 + ... + 547959.

It is an arithmetic number, because the mean of its divisors is an integer number (41715450).

Almost surely, 2^2505143424 is an apocalyptic number.

2505143424 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 2505143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004683200).

2505143424 is an abundant number, since it is smaller than the sum of its proper divisors (5504222976).

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

2505143424 is a wasteful number, since it uses less digits than its factorization.

2505143424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4651 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2505143424 is about 50051.4078123683. The cubic root of 2505143424 is about 1358.1389307679.

Adding to 2505143424 its reverse (4243415052), we get a palindrome (6748558476).

The spelling of 2505143424 in words is "two billion, five hundred five million, one hundred forty-three thousand, four hundred twenty-four".