2266997768 has 64 divisors (see below), whose sum is σ = 5142528000. Its totient is φ = 915216192.

The previous prime is 2266997723. The next prime is 2266997809. The reversal of 2266997768 is 8677996622.

It is a happy number.

It is a Cunningham number, because it is equal to 47613²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 2266997768.

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, 184505 + ... + 196407.

It is an arithmetic number, because the mean of its divisors is an integer number (80352000).

Almost surely, 2^2266997768 is an apocalyptic number.

2266997768 is a gapful number since it is divisible by the number (28) 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 2266997768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571264000).

2266997768 is an abundant number, since it is smaller than the sum of its proper divisors (2875530232).

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

2266997768 is a wasteful number, since it uses less digits than its factorization.

2266997768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12114 (or 12110 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 62.

The square root of 2266997768 is about 47612.9999894987. Note that the first 4 decimals coincide. The cubic root of 2266997768 is about 1313.6621819606.

The spelling of 2266997768 in words is "two billion, two hundred sixty-six million, nine hundred ninety-seven thousand, seven hundred sixty-eight".