2909264 has 20 divisors (see below), whose sum is σ = 5663700. Its totient is φ = 1447680.

The previous prime is 2909243. The next prime is 2909267. The reversal of 2909264 is 4629092.

It can be written as a sum of positive squares in 2 ways, for example, as 1488400 + 1420864 = 1220^2 + 1192^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2 + 9³ + 0 + 9⁶ + 2²¹ + 6⁷ + 4 .

It is a self number, because there is not a number n which added to its sum of digits gives 2909264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2909267) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5324 + ... + 5844.

It is an arithmetic number, because the mean of its divisors is an integer number (283185).

2^2909264 is an apocalyptic number.

It is an amenable number.

2909264 is a deficient number, since it is larger than the sum of its proper divisors (2754436).

2909264 is a wasteful number, since it uses less digits than its factorization.

2909264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 2909264 is about 1705.6564718606. The cubic root of 2909264 is about 142.7560023158.

The spelling of 2909264 in words is "two million, nine hundred nine thousand, two hundred sixty-four".