2046617064 has 64 divisors (see below), whose sum is σ = 5719190400. Its totient is φ = 678108672.

The previous prime is 2046617047. The next prime is 2046617081. The reversal of 2046617064 is 4607166402.

2046617064 is a `hidden beast` number, since 20 + 466 + 170 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2046617047) and next prime (2046617081).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7704 + ... + 64440.

It is an arithmetic number, because the mean of its divisors is an integer number (89362350).

Almost surely, 2^2046617064 is an apocalyptic number.

2046617064 is a gapful number since it is divisible by the number (24) 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 2046617064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859595200).

2046617064 is an abundant number, since it is smaller than the sum of its proper divisors (3672573336).

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

2046617064 is a wasteful number, since it uses less digits than its factorization.

2046617064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56919 (or 56909 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2046617064 is about 45239.5519871716. The cubic root of 2046617064 is about 1269.6349342341.

The spelling of 2046617064 in words is "two billion, forty-six million, six hundred seventeen thousand, sixty-four".