2142233016 has 256 divisors, whose sum is σ = 7017062400. Its totient is φ = 528729600.

The previous prime is 2142233003. The next prime is 2142233017. The reversal of 2142233016 is 6103322412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142233017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3804751 + ... + 3805313.

It is an arithmetic number, because the mean of its divisors is an integer number (27410400).

Almost surely, 2^2142233016 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 2142233016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508531200).

2142233016 is an abundant number, since it is smaller than the sum of its proper divisors (4874829384).

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

2142233016 is a wasteful number, since it uses less digits than its factorization.

2142233016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2142233016 is about 46284.2631571466. The cubic root of 2142233016 is about 1289.1068103427.

Adding to 2142233016 its reverse (6103322412), we get a palindrome (8245555428).

The spelling of 2142233016 in words is "two billion, one hundred forty-two million, two hundred thirty-three thousand, sixteen".