2711340 has 48 divisors (see below), whose sum is σ = 8436960. Its totient is φ = 722880.

The previous prime is 2711339. The next prime is 2711341. The reversal of 2711340 is 431172.

It is an interprime number because it is at equal distance from previous prime (2711339) and next prime (2711341).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2711341) 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, 1971 + ... + 3050.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

2^2711340 is an apocalyptic number.

2711340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2711340 is an abundant number, since it is smaller than the sum of its proper divisors (5725620).

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

2711340 is a wasteful number, since it uses less digits than its factorization.

2711340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2711340 is about 1646.6147090318. The cubic root of 2711340 is about 139.4423394490.

Subtracting from 2711340 its product of nonzero digits (168), we obtain a palindrome (2711172).

The spelling of 2711340 in words is "two million, seven hundred eleven thousand, three hundred forty".