2263000320 has 648 divisors, whose sum is σ = 9632881440. Its totient is φ = 487710720.

The previous prime is 2263000309. The next prime is 2263000349. The reversal of 2263000320 is 230003622.

2263000320 is a `hidden beast` number, since 2 + 2 + 630 + 0 + 0 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2263000293 and 2263000302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10725015 + ... + 10725225.

Almost surely, 2^2263000320 is an apocalyptic number.

2263000320 is a gapful number since it is divisible by the number (20) 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 2263000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816440720).

2263000320 is an abundant number, since it is smaller than the sum of its proper divisors (7369881120).

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

2263000320 is a wasteful number, since it uses less digits than its factorization.

2263000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2263000320 is about 47571.0029324588. The cubic root of 2263000320 is about 1312.8895910124.

Adding to 2263000320 its reverse (230003622), we get a palindrome (2493003942).

The spelling of 2263000320 in words is "two billion, two hundred sixty-three million, three hundred twenty", and thus it is an aban number.