2167297792 has 216 divisors, whose sum is σ = 5123866496. Its totient is φ = 912384000.

The previous prime is 2167297787. The next prime is 2167297807. The reversal of 2167297792 is 2977927612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35529442 + ... + 35529502.

Almost surely, 2^2167297792 is an apocalyptic number.

2167297792 is a gapful number since it is divisible by the number (22) 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 2167297792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561933248).

2167297792 is an abundant number, since it is smaller than the sum of its proper divisors (2956568704).

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

2167297792 is a wasteful number, since it uses less digits than its factorization.

2167297792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its digits is 1333584, while the sum is 52.

The square root of 2167297792 is about 46554.2456925252. The cubic root of 2167297792 is about 1294.1149753670.

The spelling of 2167297792 in words is "two billion, one hundred sixty-seven million, two hundred ninety-seven thousand, seven hundred ninety-two".