2264805504 has 144 divisors (see below), whose sum is σ = 7057707930. Its totient is φ = 696803328.

The previous prime is 2264805493. The next prime is 2264805511. The reversal of 2264805504 is 4055084622.

It is a happy number.

2264805504 is a `hidden beast` number, since 2 + 2 + 648 + 0 + 5 + 5 + 0 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1343075904 + 921729600 = 36648^2 + 30360^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 188872 + ... + 200504.

Almost surely, 2^2264805504 is an apocalyptic number.

2264805504 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 2264805504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528853965).

2264805504 is an abundant number, since it is smaller than the sum of its proper divisors (4792902426).

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

2264805504 is a wasteful number, since it uses less digits than its factorization.

2264805504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11679 (or 11651 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2264805504 is about 47589.9727253547. The cubic root of 2264805504 is about 1313.2385933761.

The spelling of 2264805504 in words is "two billion, two hundred sixty-four million, eight hundred five thousand, five hundred four".