2034004302 has 192 divisors, whose sum is σ = 5305098240. Its totient is φ = 556372800.

The previous prime is 2034004279. The next prime is 2034004303.

2034004302 is a `hidden beast` number, since 20 + 340 + 0 + 4 + 302 = 666.

2034004302 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034004303) 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 95 ways as a sum of consecutive naturals, for example, 12478473 + ... + 12478635.

It is an arithmetic number, because the mean of its divisors is an integer number (27630720).

Almost surely, 2^2034004302 is an apocalyptic number.

2034004302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034004302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652549120).

2034004302 is an abundant number, since it is smaller than the sum of its proper divisors (3271093938).

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

2034004302 is a wasteful number, since it uses less digits than its factorization.

2034004302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2034004302 is about 45099.9368292241. The cubic root of 2034004302 is about 1267.0214161348.

It can be divided in two parts, 203400 and 4302, that added together give a palindrome (207702).

The spelling of 2034004302 in words is "two billion, thirty-four million, four thousand, three hundred two".