2282123520 has 432 divisors, whose sum is σ = 8586369792. Its totient is φ = 557383680.

The previous prime is 2282123491. The next prime is 2282123617. The reversal of 2282123520 is 253212822.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8420985 + ... + 8421255.

It is an arithmetic number, because the mean of its divisors is an integer number (19875856).

Almost surely, 2^2282123520 is an apocalyptic number.

2282123520 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 2282123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293184896).

2282123520 is an abundant number, since it is smaller than the sum of its proper divisors (6304246272).

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

2282123520 is a wasteful number, since it uses less digits than its factorization.

2282123520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2282123520 is about 47771.5764864422. The cubic root of 2282123520 is about 1316.5773589659.

The spelling of 2282123520 in words is "two billion, two hundred eighty-two million, one hundred twenty-three thousand, five hundred twenty".