2064301200 has 600 divisors, whose sum is σ = 8302463400. Its totient is φ = 490613760.

The previous prime is 2064301193. The next prime is 2064301201. The reversal of 2064301200 is 21034602.

It is a happy number.

2064301200 is a `hidden beast` number, since 2 + 0 + 643 + 0 + 1 + 20 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2054264976 + 10036224 = 45324^2 + 3168^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-3 number, since 3×2064301200³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2064301201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 71182786 + ... + 71182814.

It is an arithmetic number, because the mean of its divisors is an integer number (13837439).

Almost surely, 2^2064301200 is an apocalyptic number.

2064301200 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 2064301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151231700).

2064301200 is an abundant number, since it is smaller than the sum of its proper divisors (6238162200).

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

2064301200 is a wasteful number, since it uses less digits than its factorization.

2064301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2064301200 is about 45434.5815431374. The cubic root of 2064301200 is about 1273.2812828030.

Adding to 2064301200 its reverse (21034602), we get a palindrome (2085335802).

The spelling of 2064301200 in words is "two billion, sixty-four million, three hundred one thousand, two hundred".