2711995968060 has 144 divisors (see below), whose sum is σ = 8270686438560. Its totient is φ = 719308961280.

The previous prime is 2711995968053. The next prime is 2711995968061. The reversal of 2711995968060 is 608695991172.

2711995968060 is a `hidden beast` number, since 27 + 1 + 19 + 9 + 596 + 8 + 0 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2711995968061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61239606 + ... + 61283874.

It is an arithmetic number, because the mean of its divisors is an integer number (57435322490).

Almost surely, 2^{2711995968060} is an apocalyptic number.

2711995968060 is a gapful number since it is divisible by the number (20) 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 2711995968060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4135343219280).

2711995968060 is an abundant number, since it is smaller than the sum of its proper divisors (5558690470500).

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

2711995968060 is a wasteful number, since it uses less digits than its factorization.

2711995968060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46108 (or 46103 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 2711995968060 in words is "two trillion, seven hundred eleven billion, nine hundred ninety-five million, nine hundred sixty-eight thousand, sixty".