2134605312 has 560 divisors, whose sum is σ = 7871698560. Its totient is φ = 564350976.

The previous prime is 2134605301. The next prime is 2134605313. The reversal of 2134605312 is 2135064312.

2134605312 is a `hidden beast` number, since 2 + 1 + 346 + 0 + 5 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134605313) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 49641963 + ... + 49642005.

Almost surely, 2^2134605312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134605312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935849280).

2134605312 is an abundant number, since it is smaller than the sum of its proper divisors (5737093248).

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

2134605312 is an frugal number, since it uses more digits than its factorization.

2134605312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2134605312 is about 46201.7890562692. The cubic root of 2134605312 is about 1287.5749790375.

Adding to 2134605312 its reverse (2135064312), we get a palindrome (4269669624).

The spelling of 2134605312 in words is "two billion, one hundred thirty-four million, six hundred five thousand, three hundred twelve".