2059228800 has 288 divisors, whose sum is σ = 7418810880. Its totient is φ = 543836160.

The previous prime is 2059228793. The next prime is 2059228807. The reversal of 2059228800 is 88229502.

It is an interprime number because it is at equal distance from previous prime (2059228793) and next prime (2059228807).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2059228807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3657319 + ... + 3657881.

It is an arithmetic number, because the mean of its divisors is an integer number (25759760).

Almost surely, 2^2059228800 is an apocalyptic number.

2059228800 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 2059228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709405440).

2059228800 is an abundant number, since it is smaller than the sum of its proper divisors (5359582080).

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

2059228800 is a wasteful number, since it uses less digits than its factorization.

2059228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2059228800 is about 45378.7262932754. The cubic root of 2059228800 is about 1272.2375253596.

The spelling of 2059228800 in words is "two billion, fifty-nine million, two hundred twenty-eight thousand, eight hundred".