2229266304 has 192 divisors, whose sum is σ = 6873984000. Its totient is φ = 690978816.

The previous prime is 2229266297. The next prime is 2229266311. The reversal of 2229266304 is 4036629222.

2229266304 is a `hidden beast` number, since 2 + 2 + 292 + 66 + 304 = 666.

2229266304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2229266297) and next prime (2229266311).

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 1742337 + ... + 1743615.

It is an arithmetic number, because the mean of its divisors is an integer number (35802000).

Almost surely, 2^2229266304 is an apocalyptic number.

2229266304 is a gapful number since it is divisible by the number (24) 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 2229266304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436992000).

2229266304 is an abundant number, since it is smaller than the sum of its proper divisors (4644717696).

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

2229266304 is a wasteful number, since it uses less digits than its factorization.

2229266304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2229266304 is about 47215.1067350271. The cubic root of 2229266304 is about 1306.3332584493. Note that the first 3 decimals are identical.

The spelling of 2229266304 in words is "two billion, two hundred twenty-nine million, two hundred sixty-six thousand, three hundred four".