2080200960 has 288 divisors, whose sum is σ = 7705716480. Its totient is φ = 530399232.

The previous prime is 2080200917. The next prime is 2080200979. The reversal of 2080200960 is 690020802.

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 (27).

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 31 ways as a sum of consecutive naturals, for example, 793572 + ... + 796188.

It is an arithmetic number, because the mean of its divisors is an integer number (26755960).

Almost surely, 2^2080200960 is an apocalyptic number.

2080200960 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 2080200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852858240).

2080200960 is an abundant number, since it is smaller than the sum of its proper divisors (5625515520).

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

2080200960 is a wasteful number, since it uses less digits than its factorization.

2080200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2080200960 is about 45609.2201204976. The cubic root of 2080200960 is about 1276.5419683219.

The spelling of 2080200960 in words is "two billion, eighty million, two hundred thousand, nine hundred sixty".