2012643072 has 288 divisors, whose sum is σ = 6581352960. Its totient is φ = 601620480.

The previous prime is 2012643067. The next prime is 2012643091. The reversal of 2012643072 is 2703462102.

2012643072 is a `hidden beast` number, since 2 + 0 + 12 + 643 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7831168 + ... + 7831424.

It is an arithmetic number, because the mean of its divisors is an integer number (22851920).

Almost surely, 2^2012643072 is an apocalyptic number.

2012643072 is a gapful number since it is divisible by the number (22) 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 2012643072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290676480).

2012643072 is an abundant number, since it is smaller than the sum of its proper divisors (4568709888).

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

2012643072 is a wasteful number, since it uses less digits than its factorization.

2012643072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2012643072 is about 44862.4907021445. The cubic root of 2012643072 is about 1262.5703539136.

The spelling of 2012643072 in words is "two billion, twelve million, six hundred forty-three thousand, seventy-two".