2505650304 has 64 divisors (see below), whose sum is σ = 6679441440. Its totient is φ = 832229376.

The previous prime is 2505650293. The next prime is 2505650309. The reversal of 2505650304 is 4030565052.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2505650309) 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 7 ways as a sum of consecutive naturals, for example, 97144 + ... + 120200.

Almost surely, 2^2505650304 is an apocalyptic number.

2505650304 is a gapful number since it is divisible by the number (24) 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 2505650304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339720720).

2505650304 is an abundant number, since it is smaller than the sum of its proper divisors (4173791136).

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

2505650304 is a wasteful number, since it uses less digits than its factorization.

2505650304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23357 (or 23345 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 2505650304 is about 50056.4711500921. The cubic root of 2505650304 is about 1358.2305245970.

The spelling of 2505650304 in words is "two billion, five hundred five million, six hundred fifty thousand, three hundred four".