2711497248 has 96 divisors (see below), whose sum is σ = 7985577600. Its totient is φ = 895027968.

The previous prime is 2711497247. The next prime is 2711497249. The reversal of 2711497248 is 8427941172.

It is an interprime number because it is at equal distance from previous prime (2711497247) and next prime (2711497249).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2711497241) 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, 73758 + ... + 104226.

It is an arithmetic number, because the mean of its divisors is an integer number (83183100).

Almost surely, 2^2711497248 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 2711497248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992788800).

2711497248 is an abundant number, since it is smaller than the sum of its proper divisors (5274080352).

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

2711497248 is a wasteful number, since it uses less digits than its factorization.

2711497248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30591 (or 30577 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 2711497248 is about 52072.0390228768. The cubic root of 2711497248 is about 1394.4503511551.

The spelling of 2711497248 in words is "two billion, seven hundred eleven million, four hundred ninety-seven thousand, two hundred forty-eight".