2679727960 has 256 divisors, whose sum is σ = 7735875840. Its totient is φ = 812851200.

The previous prime is 2679727951. The next prime is 2679728011. The reversal of 2679727960 is 697279762.

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 63 ways as a sum of consecutive naturals, for example, 13602582 + ... + 13602778.

It is an arithmetic number, because the mean of its divisors is an integer number (30218265).

Almost surely, 2^2679727960 is an apocalyptic number.

2679727960 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 2679727960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867937920).

2679727960 is an abundant number, since it is smaller than the sum of its proper divisors (5056147880).

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

2679727960 is a wasteful number, since it uses less digits than its factorization.

2679727960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 55.

The square root of 2679727960 is about 51766.0888999739. The cubic root of 2679727960 is about 1388.9829110489.

The spelling of 2679727960 in words is "two billion, six hundred seventy-nine million, seven hundred twenty-seven thousand, nine hundred sixty".