2505204000 has 576 divisors, whose sum is σ = 9852137568. Its totient is φ = 599040000.

The previous prime is 2505203989. The next prime is 2505204001. The reversal of 2505204000 is 4025052.

It can be written as a sum of positive squares in 16 ways, for example, as 1296 + 2505202704 = 36^2 + 50052^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2505204001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 24803950 + ... + 24804050.

Almost surely, 2^2505204000 is an apocalyptic number.

2505204000 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 2505204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926068784).

2505204000 is an abundant number, since it is smaller than the sum of its proper divisors (7346933568).

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

2505204000 is a wasteful number, since it uses less digits than its factorization.

2505204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2505204000 is about 50052.0129465339. The cubic root of 2505204000 is about 1358.1498775744.

Adding to 2505204000 its reverse (4025052), we get a palindrome (2509229052).

The spelling of 2505204000 in words is "two billion, five hundred five million, two hundred four thousand".