2686279680 has 448 divisors, whose sum is σ = 10946465280. Its totient is φ = 612237312.

The previous prime is 2686279649. The next prime is 2686279681. The reversal of 2686279680 is 869726862.

2686279680 is a `hidden beast` number, since 2 + 6 + 8 + 627 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2686279681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7741267 + ... + 7741613.

Almost surely, 2^2686279680 is an apocalyptic number.

2686279680 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 2686279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5473232640).

2686279680 is an abundant number, since it is smaller than the sum of its proper divisors (8260185600).

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

2686279680 is an equidigital number, since it uses as much as digits as its factorization.

2686279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 2686279680 is about 51829.3322357138. The cubic root of 2686279680 is about 1390.1139737126.

The spelling of 2686279680 in words is "two billion, six hundred eighty-six million, two hundred seventy-nine thousand, six hundred eighty".