2679966120 has 256 divisors, whose sum is σ = 9021358080. Its totient is φ = 632448000.

The previous prime is 2679966119. The next prime is 2679966143. The reversal of 2679966120 is 216699762.

It is a self number, because there is not a number n which added to its sum of digits gives 2679966120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7302177 + ... + 7302543.

It is an arithmetic number, because the mean of its divisors is an integer number (35239680).

Almost surely, 2^2679966120 is an apocalyptic number.

2679966120 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 2679966120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4510679040).

2679966120 is an abundant number, since it is smaller than the sum of its proper divisors (6341391960).

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

2679966120 is a wasteful number, since it uses less digits than its factorization.

2679966120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 2679966120 is about 51768.3891964971. The cubic root of 2679966120 is about 1389.0240583065.

The spelling of 2679966120 in words is "two billion, six hundred seventy-nine million, nine hundred sixty-six thousand, one hundred twenty".