2909664 has 36 divisors (see below), whose sum is σ = 8275176. Its totient is φ = 969792.

The previous prime is 2909663. The next prime is 2909671. The reversal of 2909664 is 4669092.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2909664² = 16932289185792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2909663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4764 + ... + 5339.

It is an arithmetic number, because the mean of its divisors is an integer number (229866).

2^2909664 is an apocalyptic number.

2909664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2909664 is an abundant number, since it is smaller than the sum of its proper divisors (5365512).

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

2909664 is a wasteful number, since it uses less digits than its factorization.

2909664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10119 (or 10108 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2909664 is about 1705.7737247361. The cubic root of 2909664 is about 142.7625446101.

The spelling of 2909664 in words is "two million, nine hundred nine thousand, six hundred sixty-four".