2012702840064 has 288 divisors, whose sum is σ = 6884157987840. Its totient is φ = 568128411648.

The previous prime is 2012702840063. The next prime is 2012702840089. The reversal of 2012702840064 is 4600482072102.

2012702840064 is a `hidden beast` number, since 201 + 27 + 0 + 28 + 400 + 6 + 4 = 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012702840063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3765279 + ... + 4266465.

Almost surely, 2^{2012702840064} is an apocalyptic number.

2012702840064 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 2012702840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442078993920).

2012702840064 is an abundant number, since it is smaller than the sum of its proper divisors (4871455147776).

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

2012702840064 is an equidigital number, since it uses as much as digits as its factorization.

2012702840064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501302 (or 501282 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 2012702840064 in words is "two trillion, twelve billion, seven hundred two million, eight hundred forty thousand, sixty-four".