2268387072 has 288 divisors, whose sum is σ = 7739074560. Its totient is φ = 641986560.

The previous prime is 2268387019. The next prime is 2268387109. The reversal of 2268387072 is 2707838622.

2268387072 is a `hidden beast` number, since 2 + 268 + 387 + 0 + 7 + 2 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 8370297 + ... + 8370567.

Almost surely, 2^2268387072 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 2268387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869537280).

2268387072 is an abundant number, since it is smaller than the sum of its proper divisors (5470687488).

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

2268387072 is a wasteful number, since it uses less digits than its factorization.

2268387072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2268387072 is about 47627.5872997993. The cubic root of 2268387072 is about 1313.9304815080.

The spelling of 2268387072 in words is "two billion, two hundred sixty-eight million, three hundred eighty-seven thousand, seventy-two".