2012680320 has 512 divisors, whose sum is σ = 8121876480. Its totient is φ = 413073408.

The previous prime is 2012680309. The next prime is 2012680321. The reversal of 2012680320 is 230862102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2012680321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5254849 + ... + 5255231.

It is an arithmetic number, because the mean of its divisors is an integer number (15863040).

Almost surely, 2^2012680320 is an apocalyptic number.

2012680320 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 2012680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060938240).

2012680320 is an abundant number, since it is smaller than the sum of its proper divisors (6109196160).

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

2012680320 is a wasteful number, since it uses less digits than its factorization.

2012680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2012680320 is about 44862.9058354449. The cubic root of 2012680320 is about 1262.5781426651.

The spelling of 2012680320 in words is "two billion, twelve million, six hundred eighty thousand, three hundred twenty".