2505122400 has 288 divisors, whose sum is σ = 9185412096. Its totient is φ = 587520000.

The previous prime is 2505122353. The next prime is 2505122453. The reversal of 2505122400 is 42215052.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 816870 + ... + 819930.

It is an arithmetic number, because the mean of its divisors is an integer number (31893792).

Almost surely, 2^2505122400 is an apocalyptic number.

2505122400 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 2505122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592706048).

2505122400 is an abundant number, since it is smaller than the sum of its proper divisors (6680289696).

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

2505122400 is a wasteful number, since it uses less digits than its factorization.

2505122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2505122400 is about 50051.1977878652. The cubic root of 2505122400 is about 1358.1351314388.

Adding to 2505122400 its reverse (42215052), we get a palindrome (2547337452).

The spelling of 2505122400 in words is "two billion, five hundred five million, one hundred twenty-two thousand, four hundred".