2266168320 has 528 divisors, whose sum is σ = 8810615520. Its totient is φ = 552075264.

The previous prime is 2266168279. The next prime is 2266168343. The reversal of 2266168320 is 238616622.

2266168320 is a `hidden beast` number, since 2 + 2 + 6 + 616 + 8 + 32 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 23362512 + ... + 23362608.

Almost surely, 2^2266168320 is an apocalyptic number.

2266168320 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 2266168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4405307760).

2266168320 is an abundant number, since it is smaller than the sum of its proper divisors (6544447200).

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

2266168320 is a wasteful number, since it uses less digits than its factorization.

2266168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2266168320 is about 47604.2888824106. The cubic root of 2266168320 is about 1313.5019483981.

The spelling of 2266168320 in words is "two billion, two hundred sixty-six million, one hundred sixty-eight thousand, three hundred twenty".