2264681536 has 56 divisors (see below), whose sum is σ = 4885090560. Its totient is φ = 1035428352.

The previous prime is 2264681521. The next prime is 2264681567. The reversal of 2264681536 is 6351864622.

It is a junction number, because it is equal to n+sod(n) for n = 2264681492 and 2264681501.

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 7 ways as a sum of consecutive naturals, for example, 76305 + ... + 101743.

It is an arithmetic number, because the mean of its divisors is an integer number (87233760).

Almost surely, 2^2264681536 is an apocalyptic number.

2264681536 is a gapful number since it is divisible by the number (26) 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 2264681536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442545280).

2264681536 is an abundant number, since it is smaller than the sum of its proper divisors (2620409024).

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

2264681536 is a wasteful number, since it uses less digits than its factorization.

2264681536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25571 (or 25561 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The square root of 2264681536 is about 47588.6702482849. The cubic root of 2264681536 is about 1313.2146321526.

The spelling of 2264681536 in words is "two billion, two hundred sixty-four million, six hundred eighty-one thousand, five hundred thirty-six".