2681406126 has 96 divisors (see below), whose sum is σ = 7093025280. Its totient is φ = 748267632.

The previous prime is 2681406089. The next prime is 2681406131. The reversal of 2681406126 is 6216041862.

2681406126 is a `hidden beast` number, since 26 + 8 + 14 + 0 + 612 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 101995 + ... + 125561.

It is an arithmetic number, because the mean of its divisors is an integer number (73885680).

Almost surely, 2^2681406126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2681406126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546512640).

2681406126 is an abundant number, since it is smaller than the sum of its proper divisors (4411619154).

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

2681406126 is a wasteful number, since it uses less digits than its factorization.

2681406126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23635 (or 23622 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2681406126 is about 51782.2954879368. The cubic root of 2681406126 is about 1389.2727983707.

Adding to 2681406126 its reverse (6216041862), we get a palindrome (8897447988).

The spelling of 2681406126 in words is "two billion, six hundred eighty-one million, four hundred six thousand, one hundred twenty-six".