2263818880 has 128 divisors (see below), whose sum is σ = 5631379200. Its totient is φ = 869191680.

The previous prime is 2263818857. The next prime is 2263818899. The reversal of 2263818880 is 888183622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2263818880.

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 15 ways as a sum of consecutive naturals, for example, 5252265 + ... + 5252695.

It is an arithmetic number, because the mean of its divisors is an integer number (43995150).

Almost surely, 2^2263818880 is an apocalyptic number.

2263818880 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 2263818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815689600).

2263818880 is an abundant number, since it is smaller than the sum of its proper divisors (3367560320).

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

2263818880 is a wasteful number, since it uses less digits than its factorization.

2263818880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The square root of 2263818880 is about 47579.6057150540. The cubic root of 2263818880 is about 1313.0478689918.

The spelling of 2263818880 in words is "two billion, two hundred sixty-three million, eight hundred eighteen thousand, eight hundred eighty".