2509724500 has 48 divisors (see below), whose sum is σ = 5488571088. Its totient is φ = 1002547200.

The previous prime is 2509724489. The next prime is 2509724507. The reversal of 2509724500 is 54279052.

It can be written as a sum of positive squares in 8 ways, for example, as 14122564 + 2495601936 = 3758^2 + 49956^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509724507) 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 15 ways as a sum of consecutive naturals, for example, 425572 + ... + 431428.

It is an arithmetic number, because the mean of its divisors is an integer number (114345231).

Almost surely, 2^2509724500 is an apocalyptic number.

2509724500 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 2509724500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744285544).

2509724500 is an abundant number, since it is smaller than the sum of its proper divisors (2978846588).

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

2509724500 is a wasteful number, since it uses less digits than its factorization.

2509724500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733 (or 6721 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 2509724500 is about 50097.1506175750. The cubic root of 2509724500 is about 1358.9662884554.

The spelling of 2509724500 in words is "two billion, five hundred nine million, seven hundred twenty-four thousand, five hundred".