2711481472 has 64 divisors (see below), whose sum is σ = 6210771840. Its totient is φ = 1155041280.

The previous prime is 2711481463. The next prime is 2711481473. The reversal of 2711481472 is 2741841172.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (2711481473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140572 + ... + 158692.

It is an arithmetic number, because the mean of its divisors is an integer number (97043310).

Almost surely, 2^2711481472 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 2711481472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105385920).

2711481472 is an abundant number, since it is smaller than the sum of its proper divisors (3499290368).

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

2711481472 is a wasteful number, since it uses less digits than its factorization.

2711481472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18309 (or 18297 counting only the distinct ones).

The product of its digits is 25088, while the sum is 37.

The square root of 2711481472 is about 52071.8875402073. The cubic root of 2711481472 is about 1394.4476467585.

The spelling of 2711481472 in words is "two billion, seven hundred eleven million, four hundred eighty-one thousand, four hundred seventy-two".