2288567255040 has 1632 divisors, whose sum is σ = 9422012620800. Its totient is φ = 507909242880.

The previous prime is 2288567255027. The next prime is 2288567255041. The reversal of 2288567255040 is 405527658822.

2288567255040 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 567 + 25 + 50 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2288567255041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 28969205721 + ... + 28969205799.

Almost surely, 2^{2288567255040} is an apocalyptic number.

2288567255040 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 2288567255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711006310400).

2288567255040 is an abundant number, since it is smaller than the sum of its proper divisors (7133445365760).

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

2288567255040 is a wasteful number, since it uses less digits than its factorization.

2288567255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 2288567255040 in words is "two trillion, two hundred eighty-eight billion, five hundred sixty-seven million, two hundred fifty-five thousand, forty".