2541611657 has 8 divisors (see below), whose sum is σ = 2740441536. Its totient is φ = 2343256272.

The previous prime is 2541611647. The next prime is 2541611669. The reversal of 2541611657 is 7561161452.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2541611657 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2541611657.

It is not an unprimeable number, because it can be changed into a prime (2541611647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107453 + ... + 128954.

It is an arithmetic number, because the mean of its divisors is an integer number (342555192).

Almost surely, 2^2541611657 is an apocalyptic number.

It is an amenable number.

2541611657 is a deficient number, since it is larger than the sum of its proper divisors (198829879).

2541611657 is a wasteful number, since it uses less digits than its factorization.

2541611657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237247.

The product of its digits is 50400, while the sum is 38.

The square root of 2541611657 is about 50414.3993021835. The cubic root of 2541611657 is about 1364.6975060848.

It can be divided in two parts, 25416 and 11657, that added together give a palindrome (37073).

The spelling of 2541611657 in words is "two billion, five hundred forty-one million, six hundred eleven thousand, six hundred fifty-seven".