2711166602859 has 384 divisors, whose sum is σ = 5001789112320. Its totient is φ = 1392457651200.

The previous prime is 2711166602827. The next prime is 2711166602873. The reversal of 2711166602859 is 9582066611172.

It is a happy number.

2711166602859 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2711166602859 - 2⁵ = 2711166602827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2711166602899) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11839155357 + ... + 11839155585.

It is an arithmetic number, because the mean of its divisors is an integer number (13025492480).

Almost surely, 2^{2711166602859} is an apocalyptic number.

2711166602859 is a deficient number, since it is larger than the sum of its proper divisors (2290622509461).

2711166602859 is a wasteful number, since it uses less digits than its factorization.

2711166602859 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

It can be divided in two parts, 2711166 and 602859, that added together give a triangular number (3314025 = T₂₅₇₄).

The spelling of 2711166602859 in words is "two trillion, seven hundred eleven billion, one hundred sixty-six million, six hundred two thousand, eight hundred fifty-nine".