2264133600 has 288 divisors, whose sum is σ = 8412899040. Its totient is φ = 587243520.

The previous prime is 2264133587. The next prime is 2264133623. The reversal of 2264133600 is 63314622.

2264133600 is a `hidden beast` number, since 2 + 26 + 4 + 1 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 797784 + ... + 800616.

It is an arithmetic number, because the mean of its divisors is an integer number (29211455).

Almost surely, 2^2264133600 is an apocalyptic number.

2264133600 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 2264133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206449520).

2264133600 is an abundant number, since it is smaller than the sum of its proper divisors (6148765440).

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

2264133600 is a wasteful number, since it uses less digits than its factorization.

2264133600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2264133600 is about 47582.9128994853. The cubic root of 2264133600 is about 1313.1087135645.

The spelling of 2264133600 in words is "two billion, two hundred sixty-four million, one hundred thirty-three thousand, six hundred".