2013434010450 has 288 divisors, whose sum is σ = 5733782121600. Its totient is φ = 505511592960.

The previous prime is 2013434010439. The next prime is 2013434010451. The reversal of 2013434010450 is 540104343102.

It is a happy number.

2013434010450 is a `hidden beast` number, since 201 + 3 + 4 + 3 + 4 + 0 + 1 + 0 + 450 = 666.

It is not an unprimeable number, because it can be changed into a prime (2013434010451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 209096236 + ... + 209105864.

It is an arithmetic number, because the mean of its divisors is an integer number (19908965700).

Almost surely, 2^{2013434010450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013434010450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866891060800).

2013434010450 is an abundant number, since it is smaller than the sum of its proper divisors (3720348111150).

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

2013434010450 is a wasteful number, since it uses less digits than its factorization.

2013434010450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986 (or 9978 counting only the distinct ones).

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

Adding to 2013434010450 its reverse (540104343102), we get a palindrome (2553538353552).

The spelling of 2013434010450 in words is "two trillion, thirteen billion, four hundred thirty-four million, ten thousand, four hundred fifty".