2063260800 has 288 divisors, whose sum is σ = 7602965760. Its totient is φ = 532224000.

The previous prime is 2063260783. The next prime is 2063260813. The reversal of 2063260800 is 80623602.

2063260800 is a `hidden beast` number, since 20 + 6 + 32 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 891645 + ... + 893955.

Almost surely, 2^2063260800 is an apocalyptic number.

2063260800 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 2063260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801482880).

2063260800 is an abundant number, since it is smaller than the sum of its proper divisors (5539704960).

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

2063260800 is a wasteful number, since it uses less digits than its factorization.

2063260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2063260800 is about 45423.1306714982. The cubic root of 2063260800 is about 1273.0673372056.

The spelling of 2063260800 in words is "two billion, sixty-three million, two hundred sixty thousand, eight hundred".