2505610800 has 960 divisors, whose sum is σ = 11690680320. Its totient is φ = 494208000.

The previous prime is 2505610741. The next prime is 2505610801. The reversal of 2505610800 is 80165052.

2505610800 is a `hidden beast` number, since 25 + 0 + 561 + 0 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2505610801) 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 191 ways as a sum of consecutive naturals, for example, 19126735 + ... + 19126865.

It is an arithmetic number, because the mean of its divisors is an integer number (12177792).

Almost surely, 2^2505610800 is an apocalyptic number.

2505610800 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 2505610800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5845340160).

2505610800 is an abundant number, since it is smaller than the sum of its proper divisors (9185069520).

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

2505610800 is a wasteful number, since it uses less digits than its factorization.

2505610800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2505610800 is about 50056.0765542007. The cubic root of 2505610800 is about 1358.2233866203.

Adding to 2505610800 its reverse (80165052), we get a palindrome (2585775852).

The spelling of 2505610800 in words is "two billion, five hundred five million, six hundred ten thousand, eight hundred".