2092431168 has 84 divisors (see below), whose sum is σ = 6011456100. Its totient is φ = 695863296.

The previous prime is 2092431157. The next prime is 2092431197. The reversal of 2092431168 is 8611342902.

2092431168 is a `hidden beast` number, since 209 + 2 + 431 + 16 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1441569024 + 650862144 = 37968^2 + 25512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259258 + ... + 267206.

Almost surely, 2^2092431168 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 2092431168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005728050).

2092431168 is an abundant number, since it is smaller than the sum of its proper divisors (3919024932).

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

2092431168 is a wasteful number, since it uses less digits than its factorization.

2092431168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8424 (or 8411 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2092431168 is about 45743.0996763446. The cubic root of 2092431168 is about 1279.0388226844.

The spelling of 2092431168 in words is "two billion, ninety-two million, four hundred thirty-one thousand, one hundred sixty-eight".