2942880 has 48 divisors (see below), whose sum is σ = 9271584. Its totient is φ = 784640.

The previous prime is 2942843. The next prime is 2942881. The reversal of 2942880 is 882492.

2942880 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 (48).

It is not an unprimeable number, because it can be changed into a prime (2942881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2586 + ... + 3545.

It is an arithmetic number, because the mean of its divisors is an integer number (193158).

2^2942880 is an apocalyptic number.

2942880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2942880 is an abundant number, since it is smaller than the sum of its proper divisors (6328704).

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

2942880 is a wasteful number, since it uses less digits than its factorization.

2942880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6149 (or 6141 counting only the distinct ones).

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

The square root of 2942880 is about 1715.4824394321. The cubic root of 2942880 is about 143.3037376549.

The spelling of 2942880 in words is "two million, nine hundred forty-two thousand, eight hundred eighty".