2129789576617 has 32 divisors (see below), whose sum is σ = 2387534244480. Its totient is φ = 1888019020800.

The previous prime is 2129789576597. The next prime is 2129789576633. The reversal of 2129789576617 is 7166759879212.

It is a de Polignac number, because none of the positive numbers 2^k-2129789576617 is a prime.

It is a super-2 number, since 2×2129789576617² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2129789576917) 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, 39339867 + ... + 39393967.

It is an arithmetic number, because the mean of its divisors is an integer number (74610445140).

Almost surely, 2^{2129789576617} is an apocalyptic number.

It is an amenable number.

2129789576617 is a deficient number, since it is larger than the sum of its proper divisors (257744667863).

2129789576617 is a wasteful number, since it uses less digits than its factorization.

2129789576617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54841.

The product of its digits is 160030080, while the sum is 70.

The spelling of 2129789576617 in words is "two trillion, one hundred twenty-nine billion, seven hundred eighty-nine million, five hundred seventy-six thousand, six hundred seventeen".