2942114208 has 96 divisors (see below), whose sum is σ = 8532034560. Its totient is φ = 880239360.

The previous prime is 2942114167. The next prime is 2942114209. The reversal of 2942114208 is 8024112492.

2942114208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2942114209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65791 + ... + 101057.

It is an arithmetic number, because the mean of its divisors is an integer number (88875360).

Almost surely, 2^2942114208 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 2942114208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266017280).

2942114208 is an abundant number, since it is smaller than the sum of its proper divisors (5589920352).

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

2942114208 is a wasteful number, since it uses less digits than its factorization.

2942114208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35370 (or 35362 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2942114208 is about 54241.2592774172. The cubic root of 2942114208 is about 1432.9130647904.

The spelling of 2942114208 in words is "two billion, nine hundred forty-two million, one hundred fourteen thousand, two hundred eight".