2288885528160 has 768 divisors, whose sum is σ = 10055114496000. Its totient is φ = 472410316800.

The previous prime is 2288885528141. The next prime is 2288885528203. The reversal of 2288885528160 is 618255888822.

2288885528160 is a `hidden beast` number, since 2 + 28 + 8 + 8 + 85 + 528 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×2288885528160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 49540270 + ... + 49586450.

It is an arithmetic number, because the mean of its divisors is an integer number (13092597000).

Almost surely, 2^{2288885528160} is an apocalyptic number.

2288885528160 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 2288885528160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5027557248000).

2288885528160 is an abundant number, since it is smaller than the sum of its proper divisors (7766228967840).

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

2288885528160 is a wasteful number, since it uses less digits than its factorization.

2288885528160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46372 (or 46358 counting only the distinct ones).

The product of its (nonzero) digits is 39321600, while the sum is 63.

The spelling of 2288885528160 in words is "two trillion, two hundred eighty-eight billion, eight hundred eighty-five million, five hundred twenty-eight thousand, one hundred sixty".