2167648992 has 96 divisors (see below), whose sum is σ = 6380589600. Its totient is φ = 715889664.

The previous prime is 2167648943. The next prime is 2167648997. The reversal of 2167648992 is 2998467612.

2167648992 is a `hidden beast` number, since 2 + 1 + 6 + 76 + 489 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2167648997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82668 + ... + 105684.

It is an arithmetic number, because the mean of its divisors is an integer number (66464475).

Almost surely, 2^2167648992 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 2167648992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190294800).

2167648992 is an abundant number, since it is smaller than the sum of its proper divisors (4212940608).

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

2167648992 is a wasteful number, since it uses less digits than its factorization.

2167648992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23145 (or 23131 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 2167648992 is about 46558.0174835656. The cubic root of 2167648992 is about 1294.1848732577.

The spelling of 2167648992 in words is "two billion, one hundred sixty-seven million, six hundred forty-eight thousand, nine hundred ninety-two".