2133242034 has 64 divisors (see below), whose sum is σ = 5342948352. Its totient is φ = 551620800.

The previous prime is 2133242021. The next prime is 2133242039. The reversal of 2133242034 is 4302423312.

2133242034 = 270² + 271² + ... + 1858².

It is a junction number, because it is equal to n+sod(n) for n = 2133241995 and 2133242013.

It is not an unprimeable number, because it can be changed into a prime (2133242039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94704 + ... + 115044.

It is an arithmetic number, because the mean of its divisors is an integer number (83483568).

Almost surely, 2^2133242034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133242034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671474176).

2133242034 is an abundant number, since it is smaller than the sum of its proper divisors (3209706318).

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

2133242034 is a wasteful number, since it uses less digits than its factorization.

2133242034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20591.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2133242034 is about 46187.0331803202. The cubic root of 2133242034 is about 1287.3008149336.

Adding to 2133242034 its reverse (4302423312), we get a palindrome (6435665346).

The spelling of 2133242034 in words is "two billion, one hundred thirty-three million, two hundred forty-two thousand, thirty-four".