2068129152 has 128 divisors (see below), whose sum is σ = 6463087200. Its totient is φ = 648806400.

The previous prime is 2068129117. The next prime is 2068129159. The reversal of 2068129152 is 2519218602.

It is a tau number, because it is divible by the number of its divisors (128).

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 (2068129159) 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, 41152 + ... + 76352.

Almost surely, 2^2068129152 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 2068129152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231543600).

2068129152 is an abundant number, since it is smaller than the sum of its proper divisors (4394958048).

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

2068129152 is a wasteful number, since it uses less digits than its factorization.

2068129152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35241 (or 35223 counting only the distinct ones).

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

The square root of 2068129152 is about 45476.6880060543. The cubic root of 2068129152 is about 1274.0678363001.

The spelling of 2068129152 in words is "two billion, sixty-eight million, one hundred twenty-nine thousand, one hundred fifty-two".