2281286400 has 216 divisors, whose sum is σ = 7594555584. Its totient is φ = 603033600.

The previous prime is 2281286387. The next prime is 2281286429. The reversal of 2281286400 is 46821822.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2514747 + ... + 2515653.

Almost surely, 2^2281286400 is an apocalyptic number.

2281286400 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 2281286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797277792).

2281286400 is an abundant number, since it is smaller than the sum of its proper divisors (5313269184).

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

2281286400 is a wasteful number, since it uses less digits than its factorization.

2281286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2281286400 is about 47762.8139874526. The cubic root of 2281286400 is about 1316.4163586203.

The spelling of 2281286400 in words is "two billion, two hundred eighty-one million, two hundred eighty-six thousand, four hundred".