2679956118 has 144 divisors (see below), whose sum is σ = 7374669120. Its totient is φ = 725279184.

The previous prime is 2679956101. The next prime is 2679956141. The reversal of 2679956118 is 8116599762.

2679956118 is a `hidden beast` number, since 2 + 6 + 79 + 9 + 561 + 1 + 8 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 449505 + ... + 455427.

It is an arithmetic number, because the mean of its divisors is an integer number (51212980).

Almost surely, 2^2679956118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2679956118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3687334560).

2679956118 is an abundant number, since it is smaller than the sum of its proper divisors (4694713002).

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

2679956118 is a wasteful number, since it uses less digits than its factorization.

2679956118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5973 (or 5954 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 2679956118 is about 51768.2925930535. The cubic root of 2679956118 is about 1389.0223302952.

The spelling of 2679956118 in words is "two billion, six hundred seventy-nine million, nine hundred fifty-six thousand, one hundred eighteen".