2012295168 has 468 divisors, whose sum is σ = 7015100040. Its totient is φ = 552075264.

The previous prime is 2012295163. The next prime is 2012295191. The reversal of 2012295168 is 8615922102.

2012295168 is a `hidden beast` number, since 201 + 2 + 295 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (468).

It is a super-2 number, since 2×2012295168² = 8098663686312296448, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012295163) 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 35 ways as a sum of consecutive naturals, for example, 105910263 + ... + 105910281.

It is an arithmetic number, because the mean of its divisors is an integer number (14989530).

Almost surely, 2^2012295168 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 2012295168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507550020).

2012295168 is an abundant number, since it is smaller than the sum of its proper divisors (5002804872).

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

2012295168 is a wasteful number, since it uses less digits than its factorization.

2012295168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2012295168 is about 44858.6130860061. The cubic root of 2012295168 is about 1262.4976007274.

The spelling of 2012295168 in words is "two billion, twelve million, two hundred ninety-five thousand, one hundred sixty-eight".