2286648000 has 672 divisors, whose sum is σ = 10096195200. Its totient is φ = 481075200.

The previous prime is 2286647963. The next prime is 2286648031. The reversal of 2286648000 is 8466822.

2286648000 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6551826 + ... + 6552174.

It is an arithmetic number, because the mean of its divisors is an integer number (15024100).

Almost surely, 2^2286648000 is an apocalyptic number.

2286648000 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 2286648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048097600).

2286648000 is an abundant number, since it is smaller than the sum of its proper divisors (7809547200).

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

2286648000 is a wasteful number, since it uses less digits than its factorization.

2286648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2286648000 is about 47818.9083940652. The cubic root of 2286648000 is about 1317.4468555245.

The spelling of 2286648000 in words is "two billion, two hundred eighty-six million, six hundred forty-eight thousand".