2724404011117 has 16 divisors (see below), whose sum is σ = 2837057455360. Its totient is φ = 2613889631808.

The previous prime is 2724404011103. The next prime is 2724404011127. The reversal of 2724404011117 is 7111104044272.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2724404011117 is a prime.

It is a super-3 number, since 3×2724404011117³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2724404011127) 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, 1708243 + ... + 2892559.

It is an arithmetic number, because the mean of its divisors is an integer number (177316090960).

Almost surely, 2^{2724404011117} is an apocalyptic number.

It is an amenable number.

2724404011117 is a deficient number, since it is larger than the sum of its proper divisors (112653444243).

2724404011117 is a wasteful number, since it uses less digits than its factorization.

2724404011117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185220.

The product of its (nonzero) digits is 12544, while the sum is 34.

Adding to 2724404011117 its reverse (7111104044272), we get a palindrome (9835508055389).

The spelling of 2724404011117 in words is "two trillion, seven hundred twenty-four billion, four hundred four million, eleven thousand, one hundred seventeen".