2283648000 has 352 divisors, whose sum is σ = 8021619840. Its totient is φ = 575078400.

The previous prime is 2283647983. The next prime is 2283648001. The reversal of 2283648000 is 8463822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2283648001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7295844 + ... + 7296156.

Almost surely, 2^2283648000 is an apocalyptic number.

2283648000 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 2283648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010809920).

2283648000 is an abundant number, since it is smaller than the sum of its proper divisors (5737971840).

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

2283648000 is a wasteful number, since it uses less digits than its factorization.

2283648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2283648000 is about 47787.5297541105. The cubic root of 2283648000 is about 1316.8704557361.

The spelling of 2283648000 in words is "two billion, two hundred eighty-three million, six hundred forty-eight thousand".