2742410017105 has 16 divisors (see below), whose sum is σ = 3746153764224. Its totient is φ = 1907763489280.

The previous prime is 2742410017103. The next prime is 2742410017133. The reversal of 2742410017105 is 5017100142472.

It is not a de Polignac number, because 2742410017105 - 2¹ = 2742410017103 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2742410017103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1083955264 + ... + 1083957793.

It is an arithmetic number, because the mean of its divisors is an integer number (234134610264).

Almost surely, 2^{2742410017105} is an apocalyptic number.

It is an amenable number.

2742410017105 is a deficient number, since it is larger than the sum of its proper divisors (1003743747119).

2742410017105 is a wasteful number, since it uses less digits than its factorization.

2742410017105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167913096.

The product of its (nonzero) digits is 15680, while the sum is 34.

Adding to 2742410017105 its reverse (5017100142472), we get a palindrome (7759510159577).

The spelling of 2742410017105 in words is "two trillion, seven hundred forty-two billion, four hundred ten million, seventeen thousand, one hundred five".