2286766080 has 288 divisors, whose sum is σ = 8228001600. Its totient is φ = 609140736.

The previous prime is 2286766061. The next prime is 2286766091. The reversal of 2286766080 is 806676822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2487861 + ... + 2488779.

It is an arithmetic number, because the mean of its divisors is an integer number (28569450).

Almost surely, 2^2286766080 is an apocalyptic number.

2286766080 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 2286766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114000800).

2286766080 is an abundant number, since it is smaller than the sum of its proper divisors (5941235520).

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

2286766080 is an frugal number, since it uses more digits than its factorization.

2286766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2286766080 is about 47820.1430361725. The cubic root of 2286766080 is about 1317.4695323054.

The spelling of 2286766080 in words is "two billion, two hundred eighty-six million, seven hundred sixty-six thousand, eighty".