2006358480 has 120 divisors (see below), whose sum is σ = 7700614272. Its totient is φ = 458595072.

The previous prime is 2006358469. The next prime is 2006358611. The reversal of 2006358480 is 848536002.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 194004 + ... + 204083.

Almost surely, 2^2006358480 is an apocalyptic number.

2006358480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006358480 is an abundant number, since it is smaller than the sum of its proper divisors (5694255792).

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

2006358480 is a wasteful number, since it uses less digits than its factorization.

2006358480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398113 (or 398104 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2006358480 is about 44792.3931041868. The cubic root of 2006358480 is about 1261.2548345510.

The spelling of 2006358480 in words is "two billion, six million, three hundred fifty-eight thousand, four hundred eighty".