2012985864 has 128 divisors (see below), whose sum is σ = 5682700800. Its totient is φ = 660168000.

The previous prime is 2012985847. The next prime is 2012985901. The reversal of 2012985864 is 4685892102.

It is a super-2 number, since 2×2012985864² = 8104224177327652992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 5800939 + ... + 5801285.

It is an arithmetic number, because the mean of its divisors is an integer number (44396100).

Almost surely, 2^2012985864 is an apocalyptic number.

2012985864 is a gapful number since it is divisible by the number (24) 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 2012985864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841350400).

2012985864 is an abundant number, since it is smaller than the sum of its proper divisors (3669714936).

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

2012985864 is a wasteful number, since it uses less digits than its factorization.

2012985864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2012985864 is about 44866.3110139445. The cubic root of 2012985864 is about 1262.6420298860.

The spelling of 2012985864 in words is "two billion, twelve million, nine hundred eighty-five thousand, eight hundred sixty-four".