2282183890560 has 960 divisors, whose sum is σ = 9503627074920. Its totient is φ = 520382693376.

The previous prime is 2282183890541. The next prime is 2282183890577. The reversal of 2282183890560 is 650983812822.

It is a happy number.

2282183890560 is a `hidden beast` number, since 2 + 28 + 21 + 8 + 38 + 9 + 0 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1461913137216 + 820270753344 = 1209096^2 + 905688^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2282183890560² (a number of 26 digits) contains 22 as substring.

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 = 2282183890497 and 2282183890506.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1414868314 + ... + 1414869926.

Almost surely, 2^{2282183890560} is an apocalyptic number.

2282183890560 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 2282183890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751813537460).

2282183890560 is an abundant number, since it is smaller than the sum of its proper divisors (7221443184360).

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

2282183890560 is a wasteful number, since it uses less digits than its factorization.

2282183890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 2282183890560 in words is "two trillion, two hundred eighty-two billion, one hundred eighty-three million, eight hundred ninety thousand, five hundred sixty".