2012820480 has 594 divisors, whose sum is σ = 8090755218. Its totient is φ = 462274560.

The previous prime is 2012820463. The next prime is 2012820521. The reversal of 2012820480 is 840282102.

It can be written as a sum of positive squares in only one way, i.e., 1610256384 + 402564096 = 40128^2 + 20064^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 105937911 + ... + 105937929.

Almost surely, 2^2012820480 is an apocalyptic number.

2012820480 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 2012820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045377609).

2012820480 is an abundant number, since it is smaller than the sum of its proper divisors (6077934738).

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

2012820480 is a wasteful number, since it uses less digits than its factorization.

2012820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2012820480 is about 44864.4679005558. The cubic root of 2012820480 is about 1262.6074499928.

The spelling of 2012820480 in words is "two billion, twelve million, eight hundred twenty thousand, four hundred eighty".