2711393455680 has 4032 divisors, whose sum is σ = 13244965493760. Its totient is φ = 521460301824.

The previous prime is 2711393455669. The next prime is 2711393455703. The reversal of 2711393455680 is 865543931172.

It is a happy number.

2711393455680 is a `hidden beast` number, since 2 + 7 + 1 + 1 + 3 + 9 + 3 + 4 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 40468559007 + ... + 40468559073.

It is an arithmetic number, because the mean of its divisors is an integer number (3284961680).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2711393455680 = 5422786911360, but 3⋅2711393455680 = 8134180367040 is not.

Almost surely, 2^{2711393455680} is an apocalyptic number.

2711393455680 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 2711393455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6622482746880).

2711393455680 is an abundant number, since it is smaller than the sum of its proper divisors (10533572038080).

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

2711393455680 is a wasteful number, since it uses less digits than its factorization.

2711393455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2711393455680 in words is "two trillion, seven hundred eleven billion, three hundred ninety-three million, four hundred fifty-five thousand, six hundred eighty".