2167140026752 has 128 divisors (see below), whose sum is σ = 4746089376000. Its totient is φ = 981096044544.

The previous prime is 2167140026693. The next prime is 2167140026767. The reversal of 2167140026752 is 2576200417612.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2167140026699 and 2167140026708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70408038 + ... + 70438810.

It is an arithmetic number, because the mean of its divisors is an integer number (37078823250).

Almost surely, 2^{2167140026752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2167140026752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373044688000).

2167140026752 is an abundant number, since it is smaller than the sum of its proper divisors (2578949349248).

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

2167140026752 is a wasteful number, since it uses less digits than its factorization.

2167140026752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32088 (or 32076 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 2167140026752 in words is "two trillion, one hundred sixty-seven billion, one hundred forty million, twenty-six thousand, seven hundred fifty-two".