2134534000 has 80 divisors (see below), whose sum is σ = 5212898496. Its totient is φ = 845280000.

The previous prime is 2134533997. The next prime is 2134534001. The reversal of 2134534000 is 4354312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134534001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196717 + ... + 207283.

Almost surely, 2^2134534000 is an apocalyptic number.

2134534000 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 2134534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606449248).

2134534000 is an abundant number, since it is smaller than the sum of its proper divisors (3078364496).

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

2134534000 is a wasteful number, since it uses less digits than its factorization.

2134534000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10691 (or 10675 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2134534000 is about 46201.0173048170. The cubic root of 2134534000 is about 1287.5606406226.

Adding to 2134534000 its reverse (4354312), we get a palindrome (2138888312).

The spelling of 2134534000 in words is "two billion, one hundred thirty-four million, five hundred thirty-four thousand".