2711161740 has 96 divisors (see below), whose sum is σ = 8692314624. Its totient is φ = 618508800.

The previous prime is 2711161727. The next prime is 2711161759. The reversal of 2711161740 is 471611172.

It is a super-3 number, since 3×2711161740³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2711161698 and 2711161707.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 223840 + ... + 235640.

It is an arithmetic number, because the mean of its divisors is an integer number (90544944).

Almost surely, 2^2711161740 is an apocalyptic number.

2711161740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2711161740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346157312).

2711161740 is an abundant number, since it is smaller than the sum of its proper divisors (5981152884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2711161740 is a wasteful number, since it uses less digits than its factorization.

2711161740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12367 (or 12365 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 2711161740 is about 52068.8173478138. The cubic root of 2711161740 is about 1394.3928345258.

It can be divided in two parts, 2711 and 161740, that added together give a triangular number (164451 = T₅₇₃).

The spelling of 2711161740 in words is "two billion, seven hundred eleven million, one hundred sixty-one thousand, seven hundred forty".