2711135159040 has 1728 divisors, whose sum is σ = 11741322055680. Its totient is φ = 525643776000.

The previous prime is 2711135159003. The next prime is 2711135159081. The reversal of 2711135159040 is 409515311172.

It is a self number, because there is not a number n which added to its sum of digits gives 2711135159040.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2792105755 + ... + 2792106725.

It is an arithmetic number, because the mean of its divisors is an integer number (6794746560).

Almost surely, 2^{2711135159040} is an apocalyptic number.

2711135159040 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 2711135159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870661027840).

2711135159040 is an abundant number, since it is smaller than the sum of its proper divisors (9030186896640).

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

2711135159040 is a wasteful number, since it uses less digits than its factorization.

2711135159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 39.

The spelling of 2711135159040 in words is "two trillion, seven hundred eleven billion, one hundred thirty-five million, one hundred fifty-nine thousand, forty".