2906240 has 64 divisors (see below), whose sum is σ = 7344000. Its totient is φ = 1096704.

The previous prime is 2906231. The next prime is 2906261. The reversal of 2906240 is 426092.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12041 + ... + 12279.

It is an arithmetic number, because the mean of its divisors is an integer number (114750).

2^2906240 is an apocalyptic number.

2906240 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 2906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672000).

2906240 is an abundant number, since it is smaller than the sum of its proper divisors (4437760).

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

2906240 is a wasteful number, since it uses less digits than its factorization.

2906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2906240 is about 1704.7697791784. The cubic root of 2906240 is about 142.7065231565.

The spelling of 2906240 in words is "two million, nine hundred six thousand, two hundred forty".