2942182656 has 576 divisors, whose sum is σ = 10890432000. Its totient is φ = 780337152.

The previous prime is 2942182643. The next prime is 2942182697. The reversal of 2942182656 is 6562812492.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40303836 + ... + 40303908.

It is an arithmetic number, because the mean of its divisors is an integer number (18907000).

Almost surely, 2^2942182656 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 2942182656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445216000).

2942182656 is an abundant number, since it is smaller than the sum of its proper divisors (7948249344).

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

2942182656 is an equidigital number, since it uses as much as digits as its factorization.

2942182656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 102 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2942182656 is about 54241.8902325500. The cubic root of 2942182656 is about 1432.9241768984.

The spelling of 2942182656 in words is "two billion, nine hundred forty-two million, one hundred eighty-two thousand, six hundred fifty-six".