2234131200 has 432 divisors, whose sum is σ = 9367733760. Its totient is φ = 510382080.

The previous prime is 2234131189. The next prime is 2234131223. The reversal of 2234131200 is 21314322.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 1208677 + ... + 1210523.

Almost surely, 2^2234131200 is an apocalyptic number.

2234131200 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 2234131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683866880).

2234131200 is an abundant number, since it is smaller than the sum of its proper divisors (7133602560).

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

2234131200 is a wasteful number, since it uses less digits than its factorization.

2234131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2234131200 is about 47266.5970850452. The cubic root of 2234131200 is about 1307.2828321712.

Adding to 2234131200 its reverse (21314322), we get a palindrome (2255445522).

The spelling of 2234131200 in words is "two billion, two hundred thirty-four million, one hundred thirty-one thousand, two hundred".