2134000000 has 224 divisors, whose sum is σ = 5856956280. Its totient is φ = 768000000.

The previous prime is 2133999983. The next prime is 2134000009. The reversal of 2134000000 is 4312.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 21999952 + ... + 22000048.

Almost surely, 2^2134000000 is an apocalyptic number.

2134000000 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 2134000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928478140).

2134000000 is an abundant number, since it is smaller than the sum of its proper divisors (3722956280).

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

2134000000 is an frugal number, since it uses more digits than its factorization.

2134000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2134000000 is about 46195.2378498044. The cubic root of 2134000000 is about 1287.4532612562.

Adding to 2134000000 its reverse (4312), we get a palindrome (2134004312).

The spelling of 2134000000 in words is "two billion, one hundred thirty-four million", and thus it is an aban number.