2678665680 has 160 divisors (see below), whose sum is σ = 9243158400. Its totient is φ = 713023488.

The previous prime is 2678665679. The next prime is 2678665699. The reversal of 2678665680 is 865668762.

2678665680 is a `hidden beast` number, since 2 + 6 + 78 + 6 + 6 + 568 + 0 = 666.

2678665680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2200432 + ... + 2201648.

It is an arithmetic number, because the mean of its divisors is an integer number (57769740).

Almost surely, 2^2678665680 is an apocalyptic number.

2678665680 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 2678665680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621579200).

2678665680 is an abundant number, since it is smaller than the sum of its proper divisors (6564492720).

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

2678665680 is a wasteful number, since it uses less digits than its factorization.

2678665680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 2678665680 is about 51755.8274979736. The cubic root of 2678665680 is about 1388.7993496576.

The spelling of 2678665680 in words is "two billion, six hundred seventy-eight million, six hundred sixty-five thousand, six hundred eighty".