2711081548656 has 480 divisors, whose sum is σ = 8780236570560. Its totient is φ = 804388257792.

The previous prime is 2711081548649. The next prime is 2711081548691. The reversal of 2711081548656 is 6568451801172.

2711081548656 is a `hidden beast` number, since 2 + 7 + 1 + 10 + 81 + 548 + 6 + 5 + 6 = 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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211318050 + ... + 211330878.

It is an arithmetic number, because the mean of its divisors is an integer number (18292159522).

Almost surely, 2^{2711081548656} is an apocalyptic number.

2711081548656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2711081548656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390118285280).

2711081548656 is an abundant number, since it is smaller than the sum of its proper divisors (6069155021904).

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

2711081548656 is a wasteful number, since it uses less digits than its factorization.

2711081548656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13015 (or 12997 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 2711081548656 in words is "two trillion, seven hundred eleven billion, eighty-one million, five hundred forty-eight thousand, six hundred fifty-six".