2942079356106 has 128 divisors (see below), whose sum is σ = 7302808212480. Its totient is φ = 870253675200.

The previous prime is 2942079356053. The next prime is 2942079356201. The reversal of 2942079356106 is 6016539702492.

2942079356106 is a `hidden beast` number, since 2 + 9 + 4 + 2 + 0 + 79 + 3 + 561 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41163541 + ... + 41234951.

It is an arithmetic number, because the mean of its divisors is an integer number (57053189160).

Almost surely, 2^{2942079356106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2942079356106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651404106240).

2942079356106 is an abundant number, since it is smaller than the sum of its proper divisors (4360728856374).

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

2942079356106 is a wasteful number, since it uses less digits than its factorization.

2942079356106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73089 (or 73083 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 2942079356106 in words is "two trillion, nine hundred forty-two billion, seventy-nine million, three hundred fifty-six thousand, one hundred six".