2263282560 has 864 divisors, whose sum is σ = 10298803320. Its totient is φ = 470292480.

The previous prime is 2263282519. The next prime is 2263282561. The reversal of 2263282560 is 652823622.

It is a tau number, because it is divible by the number of its divisors (864).

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 (2263282561) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 205752955 + ... + 205752965.

Almost surely, 2^2263282560 is an apocalyptic number.

2263282560 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 2263282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149401660).

2263282560 is an abundant number, since it is smaller than the sum of its proper divisors (8035520760).

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

2263282560 is an frugal number, since it uses more digits than its factorization.

2263282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2263282560 is about 47573.9693529981. The cubic root of 2263282560 is about 1312.9441696694.

The spelling of 2263282560 in words is "two billion, two hundred sixty-three million, two hundred eighty-two thousand, five hundred sixty".