2000764800 has 576 divisors, whose sum is σ = 7734504960. Its totient is φ = 510105600.

The previous prime is 2000764793. The next prime is 2000764813. The reversal of 2000764800 is 84670002.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24105559 + ... + 24105641.

It is an arithmetic number, because the mean of its divisors is an integer number (13427960).

Almost surely, 2^2000764800 is an apocalyptic number.

2000764800 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 2000764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867252480).

2000764800 is an abundant number, since it is smaller than the sum of its proper divisors (5733740160).

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

2000764800 is an equidigital number, since it uses as much as digits as its factorization.

2000764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2000764800 is about 44729.9094566488. The cubic root of 2000764800 is about 1260.0816273648.

The spelling of 2000764800 in words is "two billion, seven hundred sixty-four thousand, eight hundred".