2681781344 has 96 divisors (see below), whose sum is σ = 6006680064. Its totient is φ = 1167828480.

The previous prime is 2681781343. The next prime is 2681781359. The reversal of 2681781344 is 4431871862.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 2681781295 and 2681781304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681781343) 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 15 ways as a sum of consecutive naturals, for example, 800537 + ... + 803879.

It is an arithmetic number, because the mean of its divisors is an integer number (62569584).

Almost surely, 2^2681781344 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 2681781344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003340032).

2681781344 is an abundant number, since it is smaller than the sum of its proper divisors (3324898720).

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

2681781344 is a wasteful number, since it uses less digits than its factorization.

2681781344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3452 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The square root of 2681781344 is about 51785.9183948687. The cubic root of 2681781344 is about 1389.3375971893.

The spelling of 2681781344 in words is "two billion, six hundred eighty-one million, seven hundred eighty-one thousand, three hundred forty-four".