2509245648 has 640 divisors, whose sum is σ = 9599385600. Its totient is φ = 609638400.

The previous prime is 2509245647. The next prime is 2509245691. The reversal of 2509245648 is 8465429052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509245647) 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 127 ways as a sum of consecutive naturals, for example, 35341453 + ... + 35341523.

It is an arithmetic number, because the mean of its divisors is an integer number (14999040).

Almost surely, 2^2509245648 is an apocalyptic number.

2509245648 is a gapful number since it is divisible by the number (28) 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 2509245648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799692800).

2509245648 is an abundant number, since it is smaller than the sum of its proper divisors (7090139952).

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

2509245648 is a wasteful number, since it uses less digits than its factorization.

2509245648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2509245648 is about 50092.3711556960. The cubic root of 2509245648 is about 1358.8798533220.

The spelling of 2509245648 in words is "two billion, five hundred nine million, two hundred forty-five thousand, six hundred forty-eight".