2234030400 has 504 divisors, whose sum is σ = 9335414400. Its totient is φ = 496005120.

The previous prime is 2234030371. The next prime is 2234030417. The reversal of 2234030400 is 40304322.

2234030400 is a `hidden beast` number, since 2 + 234 + 0 + 30 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 3729301 + ... + 3729899.

Almost surely, 2^2234030400 is an apocalyptic number.

2234030400 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 2234030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4667707200).

2234030400 is an abundant number, since it is smaller than the sum of its proper divisors (7101384000).

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

2234030400 is a wasteful number, since it uses less digits than its factorization.

2234030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2234030400 is about 47265.5307808978. The cubic root of 2234030400 is about 1307.2631711218.

Adding to 2234030400 its reverse (40304322), we get a palindrome (2274334722).

The spelling of 2234030400 in words is "two billion, two hundred thirty-four million, thirty thousand, four hundred".