2681680005 has 24 divisors (see below), whose sum is σ = 4654318968. Its totient is φ = 1428360576.

The previous prime is 2681680003. The next prime is 2681680037. The reversal of 2681680005 is 5000861862.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22524516 + 2659155489 = 4746^2 + 51567^2 .

It is not a de Polignac number, because 2681680005 - 2¹ = 2681680003 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681680003) 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 23 ways as a sum of consecutive naturals, for example, 3762 + ... + 73331.

It is an arithmetic number, because the mean of its divisors is an integer number (193929957).

Almost surely, 2^2681680005 is an apocalyptic number.

It is an amenable number.

2681680005 is a deficient number, since it is larger than the sum of its proper divisors (1972638963).

2681680005 is a wasteful number, since it uses less digits than its factorization.

2681680005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77877 (or 77874 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2681680005 is about 51784.9399439644. The cubic root of 2681680005 is about 1389.3200968990.

The spelling of 2681680005 in words is "two billion, six hundred eighty-one million, six hundred eighty thousand, five".