2509678041 has 16 divisors (see below), whose sum is σ = 3611067264. Its totient is φ = 1541234304.

The previous prime is 2509678013. The next prime is 2509678049. The reversal of 2509678041 is 1408769052.

It is not a de Polignac number, because 2509678041 - 2⁶ = 2509677977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2509677984 and 2509678002.

It is not an unprimeable number, because it can be changed into a prime (2509678049) 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, 47076 + ... + 85061.

It is an arithmetic number, because the mean of its divisors is an integer number (225691704).

Almost surely, 2^2509678041 is an apocalyptic number.

It is an amenable number.

2509678041 is a deficient number, since it is larger than the sum of its proper divisors (1101389223).

2509678041 is a wasteful number, since it uses less digits than its factorization.

2509678041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132640.

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2509678041 is about 50096.6869263827. The cubic root of 2509678041 is about 1358.9579028598.

The spelling of 2509678041 in words is "two billion, five hundred nine million, six hundred seventy-eight thousand, forty-one".