2064646800 has 240 divisors, whose sum is σ = 7489342080. Its totient is φ = 540034560.

The previous prime is 2064646781. The next prime is 2064646811. The reversal of 2064646800 is 86464602.

It is a happy number.

2064646800 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 646 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 570597 + ... + 574203.

It is an arithmetic number, because the mean of its divisors is an integer number (31205592).

Almost surely, 2^2064646800 is an apocalyptic number.

2064646800 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 2064646800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744671040).

2064646800 is an abundant number, since it is smaller than the sum of its proper divisors (5424695280).

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

2064646800 is a wasteful number, since it uses less digits than its factorization.

2064646800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2064646800 is about 45438.3846543866. The cubic root of 2064646800 is about 1273.3523353310.

The spelling of 2064646800 in words is "two billion, sixty-four million, six hundred forty-six thousand, eight hundred".