2045014202466 has 64 divisors (see below), whose sum is σ = 4642373836800. Its totient is φ = 666994270608.

The previous prime is 2045014202351. The next prime is 2045014202467. The reversal of 2045014202466 is 6642024105402.

2045014202466 is a `hidden beast` number, since 2 + 0 + 4 + 50 + 142 + 0 + 2 + 466 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2045014202466.

It is not an unprimeable number, because it can be changed into a prime (2045014202467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9843621 + ... + 10049223.

It is an arithmetic number, because the mean of its divisors is an integer number (72537091200).

Almost surely, 2^{2045014202466} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045014202466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321186918400).

2045014202466 is an abundant number, since it is smaller than the sum of its proper divisors (2597359634334).

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

2045014202466 is a wasteful number, since it uses less digits than its factorization.

2045014202466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209580 (or 209574 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 2045014202466 its reverse (6642024105402), we get a palindrome (8687038307868).

The spelling of 2045014202466 in words is "two trillion, forty-five billion, fourteen million, two hundred two thousand, four hundred sixty-six".