2281358945600 has 336 divisors, whose sum is σ = 6571067424768. Its totient is φ = 763249858560.

The previous prime is 2281358945497. The next prime is 2281358945609. The reversal of 2281358945600 is 65498531822.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281358945609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754665689 + ... + 754668711.

It is an arithmetic number, because the mean of its divisors is an integer number (19556748288).

Almost surely, 2^{2281358945600} is an apocalyptic number.

2281358945600 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 2281358945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285533712384).

2281358945600 is an abundant number, since it is smaller than the sum of its proper divisors (4289708479168).

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

2281358945600 is a wasteful number, since it uses less digits than its factorization.

2281358945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4647 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 53.

The spelling of 2281358945600 in words is "two trillion, two hundred eighty-one billion, three hundred fifty-eight million, nine hundred forty-five thousand, six hundred".