2012845536 has 144 divisors (see below), whose sum is σ = 6185861136. Its totient is φ = 617177088.

The previous prime is 2012845481. The next prime is 2012845537. The reversal of 2012845536 is 6355482102.

2012845536 is a `hidden beast` number, since 20 + 1 + 2 + 84 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2012845536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012845537) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1320871 + ... + 1322393.

It is an arithmetic number, because the mean of its divisors is an integer number (42957369).

Almost surely, 2^2012845536 is an apocalyptic number.

2012845536 is a gapful number since it is divisible by the number (26) 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 2012845536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092930568).

2012845536 is an abundant number, since it is smaller than the sum of its proper divisors (4173015600).

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

2012845536 is a wasteful number, since it uses less digits than its factorization.

2012845536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2012845536 is about 44864.7471407117. The cubic root of 2012845536 is about 1262.6126890361.

The spelling of 2012845536 in words is "two billion, twelve million, eight hundred forty-five thousand, five hundred thirty-six".