2680868720 has 80 divisors (see below), whose sum is σ = 6740247168. Its totient is φ = 987770880.

The previous prime is 2680868699. The next prime is 2680868731. The reversal of 2680868720 is 278680862.

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

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

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, 42950 + ... + 84890.

Almost surely, 2^2680868720 is an apocalyptic number.

2680868720 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 2680868720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370123584).

2680868720 is an abundant number, since it is smaller than the sum of its proper divisors (4059378448).

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

2680868720 is a wasteful number, since it uses less digits than its factorization.

2680868720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42018 (or 42012 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 2680868720 is about 51777.1061377517. The cubic root of 2680868720 is about 1389.1799797293.

The spelling of 2680868720 in words is "two billion, six hundred eighty million, eight hundred sixty-eight thousand, seven hundred twenty".