2677179972416 has 56 divisors (see below), whose sum is σ = 5626942319880. Its totient is φ = 1259421253632.

The previous prime is 2677179972407. The next prime is 2677179972421. The reversal of 2677179972416 is 6142799717762.

2677179972416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 462726457600 + 2214453514816 = 680240^2 + 1488104^2 .

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2796230 + ... + 3629498.

It is an arithmetic number, because the mean of its divisors is an integer number (100481112855).

Almost surely, 2^{2677179972416} is an apocalyptic number.

It is an amenable number.

2677179972416 is an abundant number, since it is smaller than the sum of its proper divisors (2949762347464).

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

2677179972416 is a wasteful number, since it uses less digits than its factorization.

2677179972416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836251 (or 836241 counting only the distinct ones).

The product of its digits is 112021056, while the sum is 68.

The spelling of 2677179972416 in words is "two trillion, six hundred seventy-seven billion, one hundred seventy-nine million, nine hundred seventy-two thousand, four hundred sixteen".