2282180264 has 128 divisors (see below), whose sum is σ = 5428684800. Its totient is φ = 875508480.

The previous prime is 2282180233. The next prime is 2282180281. The reversal of 2282180264 is 4620812822.

It is a super-3 number, since 3×2282180264³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3462767 + ... + 3463425.

It is an arithmetic number, because the mean of its divisors is an integer number (42411600).

Almost surely, 2^2282180264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2282180264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714342400).

2282180264 is an abundant number, since it is smaller than the sum of its proper divisors (3146504536).

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

2282180264 is a wasteful number, since it uses less digits than its factorization.

2282180264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 2282180264 is about 47772.1703923948. The cubic root of 2282180264 is about 1316.5882709149.

The spelling of 2282180264 in words is "two billion, two hundred eighty-two million, one hundred eighty thousand, two hundred sixty-four".