2046495456 has 168 divisors, whose sum is σ = 6206674824. Its totient is φ = 663448320.

The previous prime is 2046495401. The next prime is 2046495457. The reversal of 2046495456 is 6545946402.

2046495456 is a `hidden beast` number, since 20 + 46 + 49 + 545 + 6 = 666.

It is a super-3 number, since 3×2046495456³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2046495457) 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 27 ways as a sum of consecutive naturals, for example, 861951 + ... + 864321.

It is an arithmetic number, because the mean of its divisors is an integer number (36944493).

Almost surely, 2^2046495456 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 2046495456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3103337412).

2046495456 is an abundant number, since it is smaller than the sum of its proper divisors (4160179368).

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

2046495456 is an equidigital number, since it uses as much as digits as its factorization.

2046495456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 2046495456 is about 45238.2079220652. The cubic root of 2046495456 is about 1269.6097869107.

The spelling of 2046495456 in words is "two billion, forty-six million, four hundred ninety-five thousand, four hundred fifty-six".