2012305680 has 800 divisors, whose sum is σ = 9031207680. Its totient is φ = 403107840.

The previous prime is 2012305651. The next prime is 2012305681. The reversal of 2012305680 is 865032102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012305681) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18461466 + ... + 18461574.

Almost surely, 2^2012305680 is an apocalyptic number.

2012305680 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 2012305680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515603840).

2012305680 is an abundant number, since it is smaller than the sum of its proper divisors (7018902000).

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

2012305680 is a wasteful number, since it uses less digits than its factorization.

2012305680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2012305680 is about 44858.7302539874. The cubic root of 2012305680 is about 1262.4997991046.

Adding to 2012305680 its reverse (865032102), we get a palindrome (2877337782).

The spelling of 2012305680 in words is "two billion, twelve million, three hundred five thousand, six hundred eighty".