2234413200 has 240 divisors, whose sum is σ = 7577907840. Its totient is φ = 561623040.

The previous prime is 2234413163. The next prime is 2234413219. The reversal of 2234413200 is 23144322.

It is a tau number, because it is divible by the number of its divisors (240).

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, 2014246 + ... + 2015354.

It is an arithmetic number, because the mean of its divisors is an integer number (31574616).

Almost surely, 2^2234413200 is an apocalyptic number.

2234413200 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 2234413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788953920).

2234413200 is an abundant number, since it is smaller than the sum of its proper divisors (5343494640).

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

2234413200 is a wasteful number, since it uses less digits than its factorization.

2234413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2234413200 is about 47269.5800700620. The cubic root of 2234413200 is about 1307.3378331560.

Adding to 2234413200 its reverse (23144322), we get a palindrome (2257557522).

The spelling of 2234413200 in words is "two billion, two hundred thirty-four million, four hundred thirteen thousand, two hundred".