2679655680 has 432 divisors, whose sum is σ = 10345542480. Its totient is φ = 635830272.

The previous prime is 2679655663. The next prime is 2679655691. The reversal of 2679655680 is 865569762.

It is a happy number.

2679655680 is a `hidden beast` number, since 2 + 6 + 7 + 9 + 6 + 556 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 759112704 + 1920542976 = 27552^2 + 43824^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4342732 + ... + 4343348.

It is an arithmetic number, because the mean of its divisors is an integer number (23948015).

Almost surely, 2^2679655680 is an apocalyptic number.

2679655680 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 2679655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5172771240).

2679655680 is an abundant number, since it is smaller than the sum of its proper divisors (7665886800).

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

2679655680 is a wasteful number, since it uses less digits than its factorization.

2679655680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 2679655680 is about 51765.3907548277. The cubic root of 2679655680 is about 1388.9704226435.

The spelling of 2679655680 in words is "two billion, six hundred seventy-nine million, six hundred fifty-five thousand, six hundred eighty".