2020788000 has 864 divisors, whose sum is σ = 9284865408. Its totient is φ = 419904000.

The previous prime is 2020787999. The next prime is 2020788017. The reversal of 2020788000 is 8870202.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 183707995 + ... + 183708005.

It is an arithmetic number, because the mean of its divisors is an integer number (10746372).

Almost surely, 2^2020788000 is an apocalyptic number.

2020788000 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 2020788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642432704).

2020788000 is an abundant number, since it is smaller than the sum of its proper divisors (7264077408).

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

2020788000 is an frugal number, since it uses more digits than its factorization.

2020788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2020788000 is about 44953.1756386576. The cubic root of 2020788000 is about 1264.2712191058.

The spelling of 2020788000 in words is "two billion, twenty million, seven hundred eighty-eight thousand".