2012590576512 has 192 divisors, whose sum is σ = 6026267108160. Its totient is φ = 644200427520.

The previous prime is 2012590576511. The next prime is 2012590576543. The reversal of 2012590576512 is 2156750952102.

2012590576512 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 590 + 5 + 7 + 6 + 51 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2012590576512² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012590576511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2518962 + ... + 3220302.

It is an arithmetic number, because the mean of its divisors is an integer number (31386807855).

Almost surely, 2^{2012590576512} 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 2012590576512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013133554080).

2012590576512 is an abundant number, since it is smaller than the sum of its proper divisors (4013676531648).

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

2012590576512 is a wasteful number, since it uses less digits than its factorization.

2012590576512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701461 (or 701446 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 2012590576512 in words is "two trillion, twelve billion, five hundred ninety million, five hundred seventy-six thousand, five hundred twelve".