2505505200 has 240 divisors, whose sum is σ = 8889419136. Its totient is φ = 598118400.

The previous prime is 2505505193. The next prime is 2505505201. The reversal of 2505505200 is 25055052.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2505505201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882984 + ... + 885816.

Almost surely, 2^2505505200 is an apocalyptic number.

2505505200 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 2505505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4444709568).

2505505200 is an abundant number, since it is smaller than the sum of its proper divisors (6383913936).

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

2505505200 is a wasteful number, since it uses less digits than its factorization.

2505505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 24.

The square root of 2505505200 is about 50055.0217260966. The cubic root of 2505505200 is about 1358.2043053908.

2505505200 divided by its reverse (25055052) gives a square (100 = 10²).

It can be divided in two parts, 2505 and 505200, that added together give a palindrome (507705).

The spelling of 2505505200 in words is "two billion, five hundred five million, five hundred five thousand, two hundred".