2263322880 has 864 divisors, whose sum is σ = 10285277184. Its totient is φ = 445906944.

The previous prime is 2263322869. The next prime is 2263322881. The reversal of 2263322880 is 882233622.

2263322880 is a `hidden beast` number, since 226 + 332 + 28 + 80 = 666.

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 (2263322881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17821377 + ... + 17821503.

It is an arithmetic number, because the mean of its divisors is an integer number (11904256).

Almost surely, 2^2263322880 is an apocalyptic number.

2263322880 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 2263322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142638592).

2263322880 is an abundant number, since it is smaller than the sum of its proper divisors (8021954304).

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

2263322880 is a wasteful number, since it uses less digits than its factorization.

2263322880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2263322880 is about 47574.3931122616. The cubic root of 2263322880 is about 1312.9519662500.

The spelling of 2263322880 in words is "two billion, two hundred sixty-three million, three hundred twenty-two thousand, eight hundred eighty".