2288538077952 has 288 divisors, whose sum is σ = 7040385257472. Its totient is φ = 646433574912.

The previous prime is 2288538077939. The next prime is 2288538077953. The reversal of 2288538077952 is 2597708358822.

2288538077952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2288538077953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300842533 + ... + 300850139.

It is an arithmetic number, because the mean of its divisors is an integer number (24445782144).

Almost surely, 2^{2288538077952} 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 2288538077952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520192628736).

2288538077952 is an abundant number, since it is smaller than the sum of its proper divisors (4751847179520).

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

2288538077952 is a wasteful number, since it uses less digits than its factorization.

2288538077952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8263 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 66.

The spelling of 2288538077952 in words is "two trillion, two hundred eighty-eight billion, five hundred thirty-eight million, seventy-seven thousand, nine hundred fifty-two".