2509652250 has 192 divisors, whose sum is σ = 7857607680. Its totient is φ = 566092800.

The previous prime is 2509652227. The next prime is 2509652269. The reversal of 2509652250 is 522569052.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1243242 + ... + 1245258.

It is an arithmetic number, because the mean of its divisors is an integer number (40925040).

Almost surely, 2^2509652250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509652250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928803840).

2509652250 is an abundant number, since it is smaller than the sum of its proper divisors (5347955430).

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

2509652250 is a wasteful number, since it uses less digits than its factorization.

2509652250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 2509652250 is about 50096.4295134893. The cubic root of 2509652250 is about 1358.9532476806.

The spelling of 2509652250 in words is "two billion, five hundred nine million, six hundred fifty-two thousand, two hundred fifty".