2700206675712 has 1728 divisors, whose sum is σ = 10505927147520. Its totient is φ = 677221171200.

The previous prime is 2700206675707. The next prime is 2700206675729. The reversal of 2700206675712 is 2175766020072.

2700206675712 is a `hidden beast` number, since 2 + 70 + 0 + 2 + 0 + 6 + 6 + 7 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×2700206675712² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 9963862137 + ... + 9963862407.

Almost surely, 2^{2700206675712} 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 2700206675712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252963573760).

2700206675712 is an abundant number, since it is smaller than the sum of its proper divisors (7805720471808).

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

2700206675712 is a wasteful number, since it uses less digits than its factorization.

2700206675712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 2700206675712 in words is "two trillion, seven hundred billion, two hundred six million, six hundred seventy-five thousand, seven hundred twelve".