2006460560 has 40 divisors (see below), whose sum is σ = 5023871160. Its totient is φ = 740846592.

The previous prime is 2006460559. The next prime is 2006460569. The reversal of 2006460560 is 650646002.

It can be written as a sum of positive squares in 4 ways, for example, as 495616 + 2005964944 = 704^2 + 44788^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2006460560³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2006460569) 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 7 ways as a sum of consecutive naturals, for example, 963605 + ... + 965684.

It is an arithmetic number, because the mean of its divisors is an integer number (125596779).

Almost surely, 2^2006460560 is an apocalyptic number.

2006460560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006460560 is an abundant number, since it is smaller than the sum of its proper divisors (3017410600).

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

2006460560 is a wasteful number, since it uses less digits than its factorization.

2006460560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929315 (or 1929309 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 2006460560 is about 44793.5325688877. The cubic root of 2006460560 is about 1261.2762243327.

The spelling of 2006460560 in words is "two billion, six million, four hundred sixty thousand, five hundred sixty".