2509248791 has 12 divisors (see below), whose sum is σ = 2929325760. Its totient is φ = 2143118880.

The previous prime is 2509248787. The next prime is 2509248799. The reversal of 2509248791 is 1978429052.

It is not a de Polignac number, because 2509248791 - 2² = 2509248787 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509248799) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 77351 + ... + 104888.

It is an arithmetic number, because the mean of its divisors is an integer number (244110480).

Almost surely, 2^2509248791 is an apocalyptic number.

2509248791 is a deficient number, since it is larger than the sum of its proper divisors (420076969).

2509248791 is a wasteful number, since it uses less digits than its factorization.

2509248791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182534 (or 182527 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 2509248791 is about 50092.4025277287. The cubic root of 2509248791 is about 1358.8804206847.

The spelling of 2509248791 in words is "two billion, five hundred nine million, two hundred forty-eight thousand, seven hundred ninety-one".