2506164241 has 12 divisors (see below), whose sum is σ = 2955274212. Its totient is φ = 2118711168.

The previous prime is 2506164169. The next prime is 2506164257. The reversal of 2506164241 is 1424616052.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2181263616 + 324900625 = 46704^2 + 18025^2 .

It is not a de Polignac number, because 2506164241 - 2⁷ = 2506164113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2506164641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346740 + ... + 353893.

It is an arithmetic number, because the mean of its divisors is an integer number (246272851).

Almost surely, 2^2506164241 is an apocalyptic number.

It is an amenable number.

2506164241 is a deficient number, since it is larger than the sum of its proper divisors (449109971).

2506164241 is an equidigital number, since it uses as much as digits as its factorization.

2506164241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700720 (or 700713 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 2506164241 is about 50061.6044589064. The cubic root of 2506164241 is about 1358.3233810237.

The spelling of 2506164241 in words is "two billion, five hundred six million, one hundred sixty-four thousand, two hundred forty-one".