2681424336 has 160 divisors (see below), whose sum is σ = 7383063168. Its totient is φ = 837457920.

The previous prime is 2681424301. The next prime is 2681424337. The reversal of 2681424336 is 6334241862.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2681424294 and 2681424303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681424337) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5741575 + ... + 5742041.

Almost surely, 2^2681424336 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 2681424336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691531584).

2681424336 is an abundant number, since it is smaller than the sum of its proper divisors (4701638832).

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

2681424336 is a wasteful number, since it uses less digits than its factorization.

2681424336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 623 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 2681424336 is about 51782.4713199361. The cubic root of 2681424336 is about 1389.2759433127.

The spelling of 2681424336 in words is "two billion, six hundred eighty-one million, four hundred twenty-four thousand, three hundred thirty-six".