2284480650144 has 192 divisors, whose sum is σ = 7479014280192. Its totient is φ = 593170636800.

The previous prime is 2284480650131. The next prime is 2284480650161. The reversal of 2284480650144 is 4410560844822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2284480650093 and 2284480650102.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22428259 + ... + 22529885.

It is an arithmetic number, because the mean of its divisors is an integer number (38953199376).

Almost surely, 2^{2284480650144} is an apocalyptic number.

2284480650144 is a gapful number since it is divisible by the number (24) 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 2284480650144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739507140096).

2284480650144 is an abundant number, since it is smaller than the sum of its proper divisors (5194533630048).

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

2284480650144 is a wasteful number, since it uses less digits than its factorization.

2284480650144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104699 (or 104691 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 48.

The spelling of 2284480650144 in words is "two trillion, two hundred eighty-four billion, four hundred eighty million, six hundred fifty thousand, one hundred forty-four".