2046466000 has 80 divisors (see below), whose sum is σ = 5004389520. Its totient is φ = 809318400.

The previous prime is 2046465989. The next prime is 2046466021. The reversal of 2046466000 is 6646402.

It can be written as a sum of positive squares in 8 ways, for example, as 892097424 + 1154368576 = 29868^2 + 33976^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2046466000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 172252 + ... + 183748.

It is an arithmetic number, because the mean of its divisors is an integer number (62554869).

Almost surely, 2^2046466000 is an apocalyptic number.

2046466000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2046466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502194760).

2046466000 is an abundant number, since it is smaller than the sum of its proper divisors (2957923520).

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

2046466000 is a wasteful number, since it uses less digits than its factorization.

2046466000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11609 (or 11593 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2046466000 is about 45237.8823553888. The cubic root of 2046466000 is about 1269.6036955534.

The spelling of 2046466000 in words is "two billion, forty-six million, four hundred sixty-six thousand".