2266306560 has 384 divisors, whose sum is σ = 9214732800. Its totient is φ = 517570560.

The previous prime is 2266306547. The next prime is 2266306577. The reversal of 2266306560 is 656036622.

2266306560 is a `hidden beast` number, since 2 + 2 + 66 + 30 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2266306560² = 10272290847798067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1934775 + ... + 1935945.

It is an arithmetic number, because the mean of its divisors is an integer number (23996700).

Almost surely, 2^2266306560 is an apocalyptic number.

2266306560 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 2266306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607366400).

2266306560 is an abundant number, since it is smaller than the sum of its proper divisors (6948426240).

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

2266306560 is a wasteful number, since it uses less digits than its factorization.

2266306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2266306560 is about 47605.7408302822. The cubic root of 2266306560 is about 1313.5286564491.

The spelling of 2266306560 in words is "two billion, two hundred sixty-six million, three hundred six thousand, five hundred sixty".