2134425600 has 360 divisors, whose sum is σ = 7882429520. Its totient is φ = 566231040.

The previous prime is 2134425551. The next prime is 2134425647. The reversal of 2134425600 is 65244312.

2134425600 is a `hidden beast` number, since 2 + 1 + 34 + 4 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11059104 + ... + 11059296.

Almost surely, 2^2134425600 is an apocalyptic number.

2134425600 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 2134425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941214760).

2134425600 is an abundant number, since it is smaller than the sum of its proper divisors (5748003920).

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

2134425600 is an equidigital number, since it uses as much as digits as its factorization.

2134425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2134425600 is about 46199.8441555813. The cubic root of 2134425600 is about 1287.5388444622.

Adding to 2134425600 its reverse (65244312), we get a palindrome (2199669912).

The spelling of 2134425600 in words is "two billion, one hundred thirty-four million, four hundred twenty-five thousand, six hundred".