2012541667344 has 600 divisors, whose sum is σ = 6434897515200. Its totient is φ = 606859029504.

The previous prime is 2012541667343. The next prime is 2012541667387. The reversal of 2012541667344 is 4437661452102.

2012541667344 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 541 + 6 + 67 + 3 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2012541667344.

It is not an unprimeable number, because it can be changed into a prime (2012541667343) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2708669437 + ... + 2708670179.

It is an arithmetic number, because the mean of its divisors is an integer number (10724829192).

Almost surely, 2^{2012541667344} is an apocalyptic number.

2012541667344 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 2012541667344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217448757600).

2012541667344 is an abundant number, since it is smaller than the sum of its proper divisors (4422355847856).

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

2012541667344 is a wasteful number, since it uses less digits than its factorization.

2012541667344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2012541667344 in words is "two trillion, twelve billion, five hundred forty-one million, six hundred sixty-seven thousand, three hundred forty-four".