2001790080 has 96 divisors (see below), whose sum is σ = 6912451260. Its totient is φ = 533809152.

The previous prime is 2001790061. The next prime is 2001790081. The reversal of 2001790080 is 800971002.

It can be written as a sum of positive squares in 2 ways, for example, as 1839380544 + 162409536 = 42888^2 + 12744^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2001790081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168007 + ... + 179526.

Almost surely, 2^2001790080 is an apocalyptic number.

2001790080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001790080 is an abundant number, since it is smaller than the sum of its proper divisors (4910661180).

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

2001790080 is a wasteful number, since it uses less digits than its factorization.

2001790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347558 (or 347543 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2001790080 is about 44741.3687765585. The cubic root of 2001790080 is about 1260.2968310496.

The spelling of 2001790080 in words is "two billion, one million, seven hundred ninety thousand, eighty".