2711711681280 has 2160 divisors, whose sum is σ = 11896599012480. Its totient is φ = 568085446656.

The previous prime is 2711711681269. The next prime is 2711711681299. The reversal of 2711711681280 is 821861171172.

2711711681280 is a `hidden beast` number, since 271 + 17 + 1 + 16 + 81 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34325464281 + ... + 34325464359.

It is an arithmetic number, because the mean of its divisors is an integer number (5507684728).

Almost surely, 2^{2711711681280} is an apocalyptic number.

2711711681280 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 2711711681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948299506240).

2711711681280 is an abundant number, since it is smaller than the sum of its proper divisors (9184887331200).

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

2711711681280 is an equidigital number, since it uses as much as digits as its factorization.

2711711681280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 45.

The spelling of 2711711681280 in words is "two trillion, seven hundred eleven billion, seven hundred eleven million, six hundred eighty-one thousand, two hundred eighty".