2681765680 has 80 divisors (see below), whose sum is σ = 6868203264. Its totient is φ = 965687040.

The previous prime is 2681765677. The next prime is 2681765683. The reversal of 2681765680 is 865671862.

It is an interprime number because it is at equal distance from previous prime (2681765677) and next prime (2681765683).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2681765683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75847 + ... + 105433.

Almost surely, 2^2681765680 is an apocalyptic number.

2681765680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2681765680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434101632).

2681765680 is an abundant number, since it is smaller than the sum of its proper divisors (4186437584).

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

2681765680 is a wasteful number, since it uses less digits than its factorization.

2681765680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29714 (or 29708 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The square root of 2681765680 is about 51785.7671566233. The cubic root of 2681765680 is about 1389.3348921930.

The spelling of 2681765680 in words is "two billion, six hundred eighty-one million, seven hundred sixty-five thousand, six hundred eighty".