2064080000 has 80 divisors (see below), whose sum is σ = 5138597310. Its totient is φ = 825600000.

The previous prime is 2064079987. The next prime is 2064080009. The reversal of 2064080000 is 804602.

It can be written as a sum of positive squares in 5 ways, for example, as 28987456 + 2035092544 = 5384^2 + 45112^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2064080009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 67100 + ... + 92900.

Almost surely, 2^2064080000 is an apocalyptic number.

2064080000 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 2064080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569298655).

2064080000 is an abundant number, since it is smaller than the sum of its proper divisors (3074517310).

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

2064080000 is an frugal number, since it uses more digits than its factorization.

2064080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25835 (or 25808 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2064080000 is about 45432.1472087772. The cubic root of 2064080000 is about 1273.2358017333.

Adding to 2064080000 its reverse (804602), we get a palindrome (2064884602).

The spelling of 2064080000 in words is "two billion, sixty-four million, eighty thousand".