2012282880 has 272 divisors, whose sum is σ = 6794720640. Its totient is φ = 507510784.

The previous prime is 2012282849. The next prime is 2012282897. The reversal of 2012282880 is 882822102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22609876 + ... + 22609964.

Almost surely, 2^2012282880 is an apocalyptic number.

2012282880 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 2012282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397360320).

2012282880 is an abundant number, since it is smaller than the sum of its proper divisors (4782437760).

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

2012282880 is an frugal number, since it uses more digits than its factorization.

2012282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 2012282880 is about 44858.4761221333. The cubic root of 2012282880 is about 1262.4950309251.

The spelling of 2012282880 in words is "two billion, twelve million, two hundred eighty-two thousand, eight hundred eighty".