2234344000 has 224 divisors, whose sum is σ = 6698674944. Its totient is φ = 720691200.

The previous prime is 2234343997. The next prime is 2234344001. The reversal of 2234344000 is 4434322.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2234344000² = 9984586220672000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2234344001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 950827 + ... + 953173.

Almost surely, 2^2234344000 is an apocalyptic number.

2234344000 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 2234344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349337472).

2234344000 is an abundant number, since it is smaller than the sum of its proper divisors (4464330944).

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

2234344000 is a wasteful number, since it uses less digits than its factorization.

2234344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2234344000 is about 47268.8480925863. The cubic root of 2234344000 is about 1307.3243368889.

Adding to 2234344000 its reverse (4434322), we get a palindrome (2238778322).

The spelling of 2234344000 in words is "two billion, two hundred thirty-four million, three hundred forty-four thousand".