2068034224032 has 288 divisors, whose sum is σ = 7174509189120. Its totient is φ = 551883870720.

The previous prime is 2068034224031. The next prime is 2068034224073. The reversal of 2068034224032 is 2304224308602.

2068034224032 is a `hidden beast` number, since 206 + 8 + 0 + 3 + 42 + 2 + 403 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (2068034224031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2339373 + ... + 3099795.

It is an arithmetic number, because the mean of its divisors is an integer number (24911490240).

Almost surely, 2^{2068034224032} 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 2068034224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587254594560).

2068034224032 is an abundant number, since it is smaller than the sum of its proper divisors (5106474965088).

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

2068034224032 is a wasteful number, since it uses less digits than its factorization.

2068034224032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760536 (or 760525 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 2068034224032 in words is "two trillion, sixty-eight billion, thirty-four million, two hundred twenty-four thousand, thirty-two".