2678967760 has 80 divisors (see below), whose sum is σ = 7204288896. Its totient is φ = 907421184.

The previous prime is 2678967751. The next prime is 2678967761. The reversal of 2678967760 is 677698762.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2678967695 and 2678967704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678967761) 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, 17662 + ... + 75298.

Almost surely, 2^2678967760 is an apocalyptic number.

2678967760 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 2678967760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602144448).

2678967760 is an abundant number, since it is smaller than the sum of its proper divisors (4525321136).

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

2678967760 is a wasteful number, since it uses less digits than its factorization.

2678967760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57740 (or 57734 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 58.

The square root of 2678967760 is about 51758.7457344167. The cubic root of 2678967760 is about 1388.8515538503.

It can be divided in two parts, 26789 and 67760, that added together give a palindrome (94549).

The spelling of 2678967760 in words is "two billion, six hundred seventy-eight million, nine hundred sixty-seven thousand, seven hundred sixty".