2234534400 has 720 divisors, whose sum is σ = 9736144704. Its totient is φ = 477757440.

The previous prime is 2234534381. The next prime is 2234534411. The reversal of 2234534400 is 44354322.

2234534400 is a `hidden beast` number, since 223 + 4 + 5 + 34 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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, 13708719 + ... + 13708881.

Almost surely, 2^2234534400 is an apocalyptic number.

2234534400 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 2234534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868072352).

2234534400 is an abundant number, since it is smaller than the sum of its proper divisors (7501610304).

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

2234534400 is a wasteful number, since it uses less digits than its factorization.

2234534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2234534400 is about 47270.8620611048. The cubic root of 2234534400 is about 1307.3614704553.

Adding to 2234534400 its reverse (44354322), we get a palindrome (2278888722).

The spelling of 2234534400 in words is "two billion, two hundred thirty-four million, five hundred thirty-four thousand, four hundred".