2711328029712 has 400 divisors, whose sum is σ = 8482421376000. Its totient is φ = 833479020288.

The previous prime is 2711328029701. The next prime is 2711328029747. The reversal of 2711328029712 is 2179208231172.

2711328029712 is a `hidden beast` number, since 2 + 71 + 1 + 3 + 280 + 297 + 12 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 149630989 + ... + 149649107.

It is an arithmetic number, because the mean of its divisors is an integer number (21206053440).

Almost surely, 2^{2711328029712} 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 2711328029712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241210688000).

2711328029712 is an abundant number, since it is smaller than the sum of its proper divisors (5771093346288).

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

2711328029712 is a wasteful number, since it uses less digits than its factorization.

2711328029712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18320 (or 18305 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 2711328029712 in words is "two trillion, seven hundred eleven billion, three hundred twenty-eight million, twenty-nine thousand, seven hundred twelve".