2266941600 has 1152 divisors, whose sum is σ = 10799308800. Its totient is φ = 445132800.

The previous prime is 2266941581. The next prime is 2266941613. The reversal of 2266941600 is 61496622.

2266941600 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 9 + 41 + 600 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48232777 + ... + 48232823.

It is an arithmetic number, because the mean of its divisors is an integer number (9374400).

Almost surely, 2^2266941600 is an apocalyptic number.

2266941600 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 2266941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399654400).

2266941600 is an abundant number, since it is smaller than the sum of its proper divisors (8532367200).

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

2266941600 is a wasteful number, since it uses less digits than its factorization.

2266941600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2266941600 is about 47612.4101469354. The cubic root of 2266941600 is about 1313.6513326062.

The spelling of 2266941600 in words is "two billion, two hundred sixty-six million, nine hundred forty-one thousand, six hundred".