2034133024 has 96 divisors (see below), whose sum is σ = 5021557632. Its totient is φ = 787968000.

The previous prime is 2034133021. The next prime is 2034133037. The reversal of 2034133024 is 4203314302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2034132986 and 2034133004.

It is not an unprimeable number, because it can be changed into a prime (2034133021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443704 + ... + 448264.

It is an arithmetic number, because the mean of its divisors is an integer number (52307892).

Almost surely, 2^2034133024 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 2034133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510778816).

2034133024 is an abundant number, since it is smaller than the sum of its proper divisors (2987424608).

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

2034133024 is a wasteful number, since it uses less digits than its factorization.

2034133024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4770 (or 4762 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2034133024 is about 45101.3638818163. The cubic root of 2034133024 is about 1267.0481433956.

Adding to 2034133024 its reverse (4203314302), we get a palindrome (6237447326).

The spelling of 2034133024 in words is "two billion, thirty-four million, one hundred thirty-three thousand, twenty-four".