2263820880 has 160 divisors (see below), whose sum is σ = 7300389888. Its totient is φ = 579686400.

The previous prime is 2263820813. The next prime is 2263820903. The reversal of 2263820880 is 880283622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1018170 + ... + 1020390.

Almost surely, 2^2263820880 is an apocalyptic number.

2263820880 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 2263820880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3650194944).

2263820880 is an abundant number, since it is smaller than the sum of its proper divisors (5036569008).

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

2263820880 is a wasteful number, since it uses less digits than its factorization.

2263820880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 2263820880 is about 47579.6267324577. The cubic root of 2263820880 is about 1313.0482556681.

The spelling of 2263820880 in words is "two billion, two hundred sixty-three million, eight hundred twenty thousand, eight hundred eighty".