2942079356160 has 540 divisors, whose sum is σ = 12246061625028. Its totient is φ = 672474120192.

The previous prime is 2942079356053. The next prime is 2942079356201. The reversal of 2942079356160 is 616539702492.

2942079356160 is a `hidden beast` number, since 2 + 9 + 4 + 2 + 0 + 79 + 3 + 561 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 383052063744 + 2559027292416 = 618912^2 + 1599696^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a junction number, because it is equal to n+sod(n) for n = 2942079356097 and 2942079356106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4790764 + ... + 5369876.

Almost surely, 2^{2942079356160} is an apocalyptic number.

2942079356160 is a gapful number since it is divisible by the number (20) 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 2942079356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6123030812514).

2942079356160 is an abundant number, since it is smaller than the sum of its proper divisors (9303982268868).

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

2942079356160 is an equidigital number, since it uses as much as digits as its factorization.

2942079356160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579160 (or 579130 counting only the distinct ones).

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

The spelling of 2942079356160 in words is "two trillion, nine hundred forty-two billion, seventy-nine million, three hundred fifty-six thousand, one hundred sixty".