2942688 has 96 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 806400.

The previous prime is 2942677. The next prime is 2942699. The reversal of 2942688 is 8862492.

2942688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2942677) and next prime (2942699).

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

Its product of digits (55296) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19413 + ... + 19563.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

2^2942688 is an apocalyptic number.

2942688 is a gapful number since it is divisible by the number (28) 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 2942688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

2942688 is an abundant number, since it is smaller than the sum of its proper divisors (6250272).

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

2942688 is a wasteful number, since it uses less digits than its factorization.

2942688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 2942688 is about 1715.4264775851. The cubic root of 2942688 is about 143.3006211028.

The spelling of 2942688 in words is "two million, nine hundred forty-two thousand, six hundred eighty-eight".