2805264 has 180 divisors, whose sum is σ = 10291008. Its totient is φ = 696960.

The previous prime is 2805263. The next prime is 2805311. The reversal of 2805264 is 4625082.

It is a super-2 number, since 2×2805264² = 15739012219392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2805263) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121957 + ... + 121979.

2^2805264 is an apocalyptic number.

2805264 is a gapful number since it is divisible by the number (24) 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 2805264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145504).

2805264 is an abundant number, since it is smaller than the sum of its proper divisors (7485744).

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

2805264 is a wasteful number, since it uses less digits than its factorization.

2805264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2805264 is about 1674.8922353393. The cubic root of 2805264 is about 141.0342454921.

The spelling of 2805264 in words is "two million, eight hundred five thousand, two hundred sixty-four".