2942640 has 120 divisors (see below), whose sum is σ = 10194288. Its totient is φ = 760320.

The previous prime is 2942629. The next prime is 2942657. The reversal of 2942640 is 462492.

2942640 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 (120).

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 23 ways as a sum of consecutive naturals, for example, 43887 + ... + 43953.

2^2942640 is an apocalyptic number.

2942640 is a gapful number since it is divisible by the number (20) 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 2942640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097144).

2942640 is an abundant number, since it is smaller than the sum of its proper divisors (7251648).

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

2942640 is a wasteful number, since it uses less digits than its factorization.

2942640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2942640 is about 1715.4124868381. The cubic root of 2942640 is about 143.2998419436.

The spelling of 2942640 in words is "two million, nine hundred forty-two thousand, six hundred forty".