2642006316312 has 192 divisors, whose sum is σ = 7978633228800. Its totient is φ = 783084107520.

The previous prime is 2642006316281. The next prime is 2642006316347. The reversal of 2642006316312 is 2136136002462.

2642006316312 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 0 + 0 + 631 + 6 + 3 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6497458 + ... + 6892094.

It is an arithmetic number, because the mean of its divisors is an integer number (41555381400).

Almost surely, 2^{2642006316312} is an apocalyptic number.

2642006316312 is a gapful number since it is divisible by the number (22) 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 2642006316312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989316614400).

2642006316312 is an abundant number, since it is smaller than the sum of its proper divisors (5336626912488).

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

2642006316312 is a wasteful number, since it uses less digits than its factorization.

2642006316312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394846 (or 394839 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 2642006316312 in words is "two trillion, six hundred forty-two billion, six million, three hundred sixteen thousand, three hundred twelve".