2012821888 has 128 divisors (see below), whose sum is σ = 5021533440. Its totient is φ = 780748800.

The previous prime is 2012821871. The next prime is 2012821901. The reversal of 2012821888 is 8881282102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2012821888.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4365978 + ... + 4366438.

It is an arithmetic number, because the mean of its divisors is an integer number (39230730).

Almost surely, 2^2012821888 is an apocalyptic number.

2012821888 is a gapful number since it is divisible by the number (28) 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 2012821888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510766720).

2012821888 is an abundant number, since it is smaller than the sum of its proper divisors (3008711552).

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

2012821888 is a wasteful number, since it uses less digits than its factorization.

2012821888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 40.

The square root of 2012821888 is about 44864.4835922581. The cubic root of 2012821888 is about 1262.6077443974.

The spelling of 2012821888 in words is "two billion, twelve million, eight hundred twenty-one thousand, eight hundred eighty-eight".