2282242080 has 96 divisors (see below), whose sum is σ = 7195825728. Its totient is φ = 608025600.

The previous prime is 2282242073. The next prime is 2282242099. The reversal of 2282242080 is 802422822.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 834315 + ... + 837045.

It is an arithmetic number, because the mean of its divisors is an integer number (74956518).

Almost surely, 2^2282242080 is an apocalyptic number.

2282242080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2282242080 is an abundant number, since it is smaller than the sum of its proper divisors (4913583648).

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

2282242080 is a wasteful number, since it uses less digits than its factorization.

2282242080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 2282242080 is about 47772.8173755746. The cubic root of 2282242080 is about 1316.6001580107.

The spelling of 2282242080 in words is "two billion, two hundred eighty-two million, two hundred forty-two thousand, eighty".