2012679360 has 224 divisors, whose sum is σ = 7134148800. Its totient is φ = 534159360.

The previous prime is 2012679313. The next prime is 2012679391. The reversal of 2012679360 is 639762102.

2012679360 is a `hidden beast` number, since 201 + 26 + 79 + 360 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 2427426 + ... + 2428254.

Almost surely, 2^2012679360 is an apocalyptic number.

2012679360 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 2012679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567074400).

2012679360 is an abundant number, since it is smaller than the sum of its proper divisors (5121469440).

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

2012679360 is a wasteful number, since it uses less digits than its factorization.

2012679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2012679360 is about 44862.8951361813. The cubic root of 2012679360 is about 1262.5779419253.

The spelling of 2012679360 in words is "two billion, twelve million, six hundred seventy-nine thousand, three hundred sixty".