2007006180 has 24 divisors (see below), whose sum is σ = 5619617472. Its totient is φ = 535201632.

The previous prime is 2007006163. The next prime is 2007006181. The reversal of 2007006180 is 816007002.

It is a self number, because there is not a number n which added to its sum of digits gives 2007006180.

It is not an unprimeable number, because it can be changed into a prime (2007006181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16724992 + ... + 16725111.

It is an arithmetic number, because the mean of its divisors is an integer number (234150728).

Almost surely, 2^2007006180 is an apocalyptic number.

2007006180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2007006180 is an abundant number, since it is smaller than the sum of its proper divisors (3612611292).

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

2007006180 is a wasteful number, since it uses less digits than its factorization.

2007006180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33450115 (or 33450113 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 2007006180 is about 44799.6225430527. The cubic root of 2007006180 is about 1261.3905409188.

The spelling of 2007006180 in words is "two billion, seven million, six thousand, one hundred eighty".