2282490000 has 300 divisors, whose sum is σ = 9125029056. Its totient is φ = 521568000.

The previous prime is 2282489983. The next prime is 2282490061. The reversal of 2282490000 is 942822.

It is a tau number, because it is divible by the number of its divisors (300).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 628189 + ... + 631811.

Almost surely, 2^2282490000 is an apocalyptic number.

2282490000 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 2282490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4562514528).

2282490000 is an abundant number, since it is smaller than the sum of its proper divisors (6842539056).

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

2282490000 is a wasteful number, since it uses less digits than its factorization.

2282490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2282490000 is about 47775.4120861349. The cubic root of 2282490000 is about 1316.6478303844.

The spelling of 2282490000 in words is "two billion, two hundred eighty-two million, four hundred ninety thousand".