2679734511 has 24 divisors (see below), whose sum is σ = 3940335360. Its totient is φ = 1754425296.

The previous prime is 2679734467. The next prime is 2679734549. The reversal of 2679734511 is 1154379762.

2679734511 is a `hidden beast` number, since 2 + 67 + 9 + 73 + 4 + 511 = 666.

It is not a de Polignac number, because 2679734511 - 2⁷ = 2679734383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2679739511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702736 + ... + 706538.

It is an arithmetic number, because the mean of its divisors is an integer number (164180640).

Almost surely, 2^2679734511 is an apocalyptic number.

2679734511 is a deficient number, since it is larger than the sum of its proper divisors (1260600849).

2679734511 is a wasteful number, since it uses less digits than its factorization.

2679734511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195 (or 5192 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 2679734511 is about 51766.1521749492. The cubic root of 2679734511 is about 1388.9840429075.

It can be divided in two parts, 267973 and 4511, that added together give a square (272484 = 522²).

The spelling of 2679734511 in words is "two billion, six hundred seventy-nine million, seven hundred thirty-four thousand, five hundred eleven".