2012603950764 has 288 divisors, whose sum is σ = 6068673479232. Its totient is φ = 555393024000.

The previous prime is 2012603950667. The next prime is 2012603950769. The reversal of 2012603950764 is 4670593062102.

2012603950764 is a `hidden beast` number, since 20 + 1 + 2 + 60 + 3 + 9 + 507 + 64 = 666.

It is a super-2 number, since 2×2012603950764² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2012603950769) 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 95 ways as a sum of consecutive naturals, for example, 45061884 + ... + 45106524.

It is an arithmetic number, because the mean of its divisors is an integer number (21071782914).

Almost surely, 2^{2012603950764} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012603950764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034336739616).

2012603950764 is an abundant number, since it is smaller than the sum of its proper divisors (4056069528468).

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

2012603950764 is a wasteful number, since it uses less digits than its factorization.

2012603950764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44897 (or 44892 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2012603950764 in words is "two trillion, twelve billion, six hundred three million, nine hundred fifty thousand, seven hundred sixty-four".