2617871201 has 16 divisors (see below), whose sum is σ = 2984162688. Its totient is φ = 2273251200.

The previous prime is 2617871171. The next prime is 2617871219. The reversal of 2617871201 is 1021787162.

It is a de Polignac number, because none of the positive numbers 2^k-2617871201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2617871801) 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 15 ways as a sum of consecutive naturals, for example, 185735 + ... + 199331.

It is an arithmetic number, because the mean of its divisors is an integer number (186510168).

Almost surely, 2^2617871201 is an apocalyptic number.

It is an amenable number.

2617871201 is a deficient number, since it is larger than the sum of its proper divisors (366291487).

2617871201 is a wasteful number, since it uses less digits than its factorization.

2617871201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14392.

The product of its (nonzero) digits is 9408, while the sum is 35.

The square root of 2617871201 is about 51165.1365775564. The cubic root of 2617871201 is about 1378.2122058414.

It can be divided in two parts, 26178 and 71201, that added together give a palindrome (97379).

The spelling of 2617871201 in words is "two billion, six hundred seventeen million, eight hundred seventy-one thousand, two hundred one".