2617166541 has 32 divisors (see below), whose sum is σ = 4079351808. Its totient is φ = 1474845440.

The previous prime is 2617166501. The next prime is 2617166551. The reversal of 2617166541 is 1456617162.

It is a cyclic number.

It is not a de Polignac number, because 2617166541 - 2⁶ = 2617166477 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2617166541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2617166501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18460 + ... + 74666.

It is an arithmetic number, because the mean of its divisors is an integer number (127479744).

Almost surely, 2^2617166541 is an apocalyptic number.

It is an amenable number.

2617166541 is a deficient number, since it is larger than the sum of its proper divisors (1462185267).

2617166541 is a wasteful number, since it uses less digits than its factorization.

2617166541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56321.

The product of its digits is 60480, while the sum is 39.

The square root of 2617166541 is about 51158.2499798420. The cubic root of 2617166541 is about 1378.0885356161.

The spelling of 2617166541 in words is "two billion, six hundred seventeen million, one hundred sixty-six thousand, five hundred forty-one".