2134444200 has 192 divisors, whose sum is σ = 7583621760. Its totient is φ = 486481920.

The previous prime is 2134444189. The next prime is 2134444217. The reversal of 2134444200 is 24444312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2490172 + ... + 2491028.

It is an arithmetic number, because the mean of its divisors is an integer number (39498030).

Almost surely, 2^2134444200 is an apocalyptic number.

2134444200 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 2134444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791810880).

2134444200 is an abundant number, since it is smaller than the sum of its proper divisors (5449177560).

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

2134444200 is a wasteful number, since it uses less digits than its factorization.

2134444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2134444200 is about 46200.0454545231. The cubic root of 2134444200 is about 1287.5425844463.

Adding to 2134444200 its reverse (24444312), we get a palindrome (2158888512).

The spelling of 2134444200 in words is "two billion, one hundred thirty-four million, four hundred forty-four thousand, two hundred".