2509824649 has 8 divisors (see below), whose sum is σ = 2538361800. Its totient is φ = 2481360000.

The previous prime is 2509824643. The next prime is 2509824679. The reversal of 2509824649 is 9464289052.

It can be written as a sum of positive squares in 4 ways, for example, as 1323504400 + 1186320249 = 36380^2 + 34443^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2509824649 - 2⁷ = 2509824521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2509824643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53077 + ... + 88525.

It is an arithmetic number, because the mean of its divisors is an integer number (317295225).

Almost surely, 2^2509824649 is an apocalyptic number.

It is an amenable number.

2509824649 is a deficient number, since it is larger than the sum of its proper divisors (28537151).

2509824649 is a wasteful number, since it uses less digits than its factorization.

2509824649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36251.

The product of its (nonzero) digits is 1244160, while the sum is 49.

The square root of 2509824649 is about 50098.1501554698. The cubic root of 2509824649 is about 1358.9843644507.

The spelling of 2509824649 in words is "two billion, five hundred nine million, eight hundred twenty-four thousand, six hundred forty-nine".