2033688342 has 64 divisors (see below), whose sum is σ = 4934836224. Its totient is φ = 545433600.

The previous prime is 2033688329. The next prime is 2033688347. The reversal of 2033688342 is 2438863302.

It is a super-3 number, since 3×2033688342³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2033688342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033688347) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 282763 + ... + 289865.

It is an arithmetic number, because the mean of its divisors is an integer number (77106816).

Almost surely, 2^2033688342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033688342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467418112).

2033688342 is an abundant number, since it is smaller than the sum of its proper divisors (2901147882).

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

2033688342 is a wasteful number, since it uses less digits than its factorization.

2033688342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7533.

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 2033688342 is about 45096.4338057900. The cubic root of 2033688342 is about 1266.9558068312.

The spelling of 2033688342 in words is "two billion, thirty-three million, six hundred eighty-eight thousand, three hundred forty-two".