2611712712 has 64 divisors (see below), whose sum is σ = 7503350400. Its totient is φ = 742072320.

The previous prime is 2611712699. The next prime is 2611712723. The reversal of 2611712712 is 2172171162.

2611712712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2611712712.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12537 + ... + 73352.

It is an arithmetic number, because the mean of its divisors is an integer number (117239850).

Almost surely, 2^2611712712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2611712712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751675200).

2611712712 is an abundant number, since it is smaller than the sum of its proper divisors (4891637688).

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

2611712712 is a wasteful number, since it uses less digits than its factorization.

2611712712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86086 (or 86082 counting only the distinct ones).

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

The square root of 2611712712 is about 51104.9186673846. The cubic root of 2611712712 is about 1377.1306184896.

Adding to 2611712712 its reverse (2172171162), we get a palindrome (4783883874).

The spelling of 2611712712 in words is "two billion, six hundred eleven million, seven hundred twelve thousand, seven hundred twelve".