2134304000 has 72 divisors (see below), whose sum is σ = 5316897768. Its totient is φ = 853708800.

The previous prime is 2134303987. The next prime is 2134304017. The reversal of 2134304000 is 4034312.

It can be written as a sum of positive squares in 4 ways, for example, as 621405184 + 1512898816 = 24928^2 + 38896^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2134304000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1349 + ... + 65348.

Almost surely, 2^2134304000 is an apocalyptic number.

2134304000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658448884).

2134304000 is an abundant number, since it is smaller than the sum of its proper divisors (3182593768).

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

2134304000 is an frugal number, since it uses more digits than its factorization.

2134304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66728 (or 66704 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2134304000 is about 46198.5281150818. The cubic root of 2134304000 is about 1287.5143932786.

Adding to 2134304000 its reverse (4034312), we get a palindrome (2138338312).

The spelling of 2134304000 in words is "two billion, one hundred thirty-four million, three hundred four thousand".