2701279116 has 72 divisors (see below), whose sum is σ = 7080213504. Its totient is φ = 867460320.

The previous prime is 2701279111. The next prime is 2701279117. The reversal of 2701279116 is 6119721072.

It is a happy number.

2701279116 is a `hidden beast` number, since 270 + 1 + 279 + 116 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (2701279111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248001 + ... + 258663.

Almost surely, 2^2701279116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2701279116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540106752).

2701279116 is an abundant number, since it is smaller than the sum of its proper divisors (4378934388).

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

2701279116 is a wasteful number, since it uses less digits than its factorization.

2701279116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10931 (or 10926 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 2701279116 is about 51973.8310691063. The cubic root of 2701279116 is about 1392.6965090921.

The spelling of 2701279116 in words is "two billion, seven hundred one million, two hundred seventy-nine thousand, one hundred sixteen".