2134244000 has 144 divisors (see below), whose sum is σ = 6100534440. Its totient is φ = 731673600.

The previous prime is 2134243997. The next prime is 2134244041. The reversal of 2134244000 is 4424312.

It can be written as a sum of positive squares in 4 ways, for example, as 149719696 + 1984524304 = 12236^2 + 44548^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 190556 + ... + 201444.

Almost surely, 2^2134244000 is an apocalyptic number.

2134244000 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 2134244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050267220).

2134244000 is an abundant number, since it is smaller than the sum of its proper divisors (3966290440).

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

2134244000 is a wasteful number, since it uses less digits than its factorization.

2134244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10928 (or 10903 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2134244000 is about 46197.8787391802. The cubic root of 2134244000 is about 1287.5023282077.

Adding to 2134244000 its reverse (4424312), we get a palindrome (2138668312).

The spelling of 2134244000 in words is "two billion, one hundred thirty-four million, two hundred forty-four thousand".