2167867217248 has 96 divisors (see below), whose sum is σ = 4558087779840. Its totient is φ = 1011934264320.

The previous prime is 2167867217233. The next prime is 2167867217261. The reversal of 2167867217248 is 8427127687612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99145965 + ... + 99167827.

It is an arithmetic number, because the mean of its divisors is an integer number (47480081040).

Almost surely, 2^{2167867217248} 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 2167867217248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279043889920).

2167867217248 is an abundant number, since it is smaller than the sum of its proper divisors (2390220562592).

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

2167867217248 is a wasteful number, since it uses less digits than its factorization.

2167867217248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24260 (or 24252 counting only the distinct ones).

The product of its digits is 25288704, while the sum is 61.

The spelling of 2167867217248 in words is "two trillion, one hundred sixty-seven billion, eight hundred sixty-seven million, two hundred seventeen thousand, two hundred forty-eight".