2282600141640 has 1152 divisors, whose sum is σ = 10047675456000. Its totient is φ = 443893395456.

The previous prime is 2282600141557. The next prime is 2282600141651. The reversal of 2282600141640 is 461410062822.

2282600141640 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 6 + 0 + 0 + 1 + 4 + 1 + 640 = 666.

It is a super-3 number, since 3×2282600141640³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2282600141595 and 2282600141604.

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 287 ways as a sum of consecutive naturals, for example, 161204881 + ... + 161219039.

It is an arithmetic number, because the mean of its divisors is an integer number (8721940500).

Almost surely, 2^{2282600141640} is an apocalyptic number.

2282600141640 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 2282600141640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023837728000).

2282600141640 is an abundant number, since it is smaller than the sum of its proper divisors (7765075314360).

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

2282600141640 is a wasteful number, since it uses less digits than its factorization.

2282600141640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14259 (or 14245 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 2282600141640 in words is "two trillion, two hundred eighty-two billion, six hundred million, one hundred forty-one thousand, six hundred forty".