2005734915450 has 336 divisors, whose sum is σ = 6728968633920. Its totient is φ = 434323503360.

The previous prime is 2005734915397. The next prime is 2005734915467. The reversal of 2005734915450 is 545194375002.

2005734915450 is a `hidden beast` number, since 20 + 0 + 57 + 34 + 9 + 1 + 545 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2005734915396 and 2005734915405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4640982 + ... + 5054718.

Almost surely, 2^{2005734915450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005734915450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364484316960).

2005734915450 is an abundant number, since it is smaller than the sum of its proper divisors (4723233718470).

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

2005734915450 is a wasteful number, since it uses less digits than its factorization.

2005734915450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413793 (or 413773 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 2005734915450 in words is "two trillion, five billion, seven hundred thirty-four million, nine hundred fifteen thousand, four hundred fifty".