2942016 has 112 divisors (see below), whose sum is σ = 9753600. Its totient is φ = 760320.

The previous prime is 2942011. The next prime is 2942033. The reversal of 2942016 is 6102492.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2942011) 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, 14685 + ... + 14883.

2^2942016 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 2942016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876800).

2942016 is an abundant number, since it is smaller than the sum of its proper divisors (6811584).

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

2942016 is a wasteful number, since it uses less digits than its factorization.

2942016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2942016 is about 1715.2305967420. The cubic root of 2942016 is about 143.2897121030.

It can be divided in two parts, 294 and 2016, that multiplied together give a cube (592704 = 84³).

The spelling of 2942016 in words is "two million, nine hundred forty-two thousand, sixteen".