2731008126 has 128 divisors (see below), whose sum is σ = 7116595200. Its totient is φ = 677900160.

The previous prime is 2731008103. The next prime is 2731008139. The reversal of 2731008126 is 6218001372.

It is a junction number, because it is equal to n+sod(n) for n = 2731008093 and 2731008102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1379005 + ... + 1380983.

It is an arithmetic number, because the mean of its divisors is an integer number (55598400).

Almost surely, 2^2731008126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2731008126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558297600).

2731008126 is an abundant number, since it is smaller than the sum of its proper divisors (4385587074).

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

2731008126 is a wasteful number, since it uses less digits than its factorization.

2731008126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2731008126 is about 52259.0482691754. The cubic root of 2731008126 is about 1397.7870013458.

Adding to 2731008126 its reverse (6218001372), we get a palindrome (8949009498).

The spelling of 2731008126 in words is "two billion, seven hundred thirty-one million, eight thousand, one hundred twenty-six".