2288836161360 has 800 divisors, whose sum is σ = 9484064409600. Its totient is φ = 500570357760.

The previous prime is 2288836161349. The next prime is 2288836161371. The reversal of 2288836161360 is 631616388822.

2288836161360 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 8 + 3 + 616 + 13 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2288836161349) and next prime (2288836161371).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2288836161297 and 2288836161306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 125139096 + ... + 125157384.

It is an arithmetic number, because the mean of its divisors is an integer number (11855080512).

Almost surely, 2^{2288836161360} is an apocalyptic number.

2288836161360 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 2288836161360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4742032204800).

2288836161360 is an abundant number, since it is smaller than the sum of its proper divisors (7195228248240).

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

2288836161360 is a wasteful number, since it uses less digits than its factorization.

2288836161360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18441 (or 18426 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2288836161360 in words is "two trillion, two hundred eighty-eight billion, eight hundred thirty-six million, one hundred sixty-one thousand, three hundred sixty".