2711137420 has 48 divisors (see below), whose sum is σ = 5946006528. Its totient is φ = 1036418240.

The previous prime is 2711137411. The next prime is 2711137427. The reversal of 2711137420 is 247311172.

It is a super-2 number, since 2×2711137420² = 14700532220248512800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2711137427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 848025 + ... + 851215.

It is an arithmetic number, because the mean of its divisors is an integer number (123875136).

Almost surely, 2^2711137420 is an apocalyptic number.

2711137420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2711137420 is an abundant number, since it is smaller than the sum of its proper divisors (3234869108).

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

2711137420 is a wasteful number, since it uses less digits than its factorization.

2711137420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 2711137420 is about 52068.5838102017. The cubic root of 2711137420 is about 1394.3886651280.

Adding to 2711137420 its reverse (247311172), we get a palindrome (2958448592).

The spelling of 2711137420 in words is "two billion, seven hundred eleven million, one hundred thirty-seven thousand, four hundred twenty".