2266361856 has 416 divisors, whose sum is σ = 7737546240. Its totient is φ = 656916480.

The previous prime is 2266361849. The next prime is 2266361887. The reversal of 2266361856 is 6581636622.

2266361856 is a `hidden beast` number, since 2 + 2 + 6 + 636 + 1 + 8 + 5 + 6 = 666.

It is a super-4 number, since 4×2266361856⁴ (a number of 39 digits) contains 4444 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98537461 + ... + 98537483.

Almost surely, 2^2266361856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2266361856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868773120).

2266361856 is an abundant number, since it is smaller than the sum of its proper divisors (5471184384).

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

2266361856 is an frugal number, since it uses more digits than its factorization.

2266361856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 39 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 2266361856 is about 47606.3215970316. The cubic root of 2266361856 is about 1313.5393393654.

The spelling of 2266361856 in words is "two billion, two hundred sixty-six million, three hundred sixty-one thousand, eight hundred fifty-six".