2059706880 has 960 divisors, whose sum is σ = 9437395968. Its totient is φ = 418037760.

The previous prime is 2059706821. The next prime is 2059706903. The reversal of 2059706880 is 886079502.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47900139 + ... + 47900181.

Almost surely, 2^2059706880 is an apocalyptic number.

2059706880 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 2059706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718697984).

2059706880 is an abundant number, since it is smaller than the sum of its proper divisors (7377689088).

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

2059706880 is an equidigital number, since it uses as much as digits as its factorization.

2059706880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2059706880 is about 45383.9936541508. The cubic root of 2059706880 is about 1272.3359739070.

The spelling of 2059706880 in words is "two billion, fifty-nine million, seven hundred six thousand, eight hundred eighty".