2282180500 has 48 divisors (see below), whose sum is σ = 4995598608. Its totient is φ = 910800000.

The previous prime is 2282180473. The next prime is 2282180501. The reversal of 2282180500 is 50812822.

It can be written as a sum of positive squares in 8 ways, for example, as 354794896 + 1927385604 = 18836^2 + 43902^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282180501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225550 + ... + 235450.

It is an arithmetic number, because the mean of its divisors is an integer number (104074971).

Almost surely, 2^2282180500 is an apocalyptic number.

2282180500 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 2282180500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497799304).

2282180500 is an abundant number, since it is smaller than the sum of its proper divisors (2713418108).

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

2282180500 is a wasteful number, since it uses less digits than its factorization.

2282180500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10381 (or 10369 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 2282180500 is about 47772.1728624520. The cubic root of 2282180500 is about 1316.5883162977.

The spelling of 2282180500 in words is "two billion, two hundred eighty-two million, one hundred eighty thousand, five hundred".