2505124800 has 336 divisors, whose sum is σ = 9237146880. Its totient is φ = 660372480.

The previous prime is 2505124799. The next prime is 2505124801. The reversal of 2505124800 is 84215052.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2505124799) and next prime (2505124801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505124801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4449319 + ... + 4449881.

Almost surely, 2^2505124800 is an apocalyptic number.

2505124800 is a gapful number since it is divisible by the number (20) 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 2505124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618573440).

2505124800 is an abundant number, since it is smaller than the sum of its proper divisors (6732022080).

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

2505124800 is a wasteful number, since it uses less digits than its factorization.

2505124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2505124800 is about 50051.2217633096. The cubic root of 2505124800 is about 1358.1355651533.

Adding to 2505124800 its reverse (84215052), we get a palindrome (2589339852).

The spelling of 2505124800 in words is "two billion, five hundred five million, one hundred twenty-four thousand, eight hundred".