2284450638624 has 720 divisors, whose sum is σ = 8668186236864. Its totient is φ = 577306414080.

The previous prime is 2284450638611. The next prime is 2284450638671. The reversal of 2284450638624 is 4268360544822.

2284450638624 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 4 + 5 + 0 + 6 + 3 + 8 + 624 = 666.

2284450638624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2284450638624² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 81216627 + ... + 81244749.

Almost surely, 2^{2284450638624} is an apocalyptic number.

2284450638624 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 2284450638624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334093118432).

2284450638624 is an abundant number, since it is smaller than the sum of its proper divisors (6383735598240).

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

2284450638624 is a wasteful number, since it uses less digits than its factorization.

2284450638624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28211 (or 28183 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 2284450638624 in words is "two trillion, two hundred eighty-four billion, four hundred fifty million, six hundred thirty-eight thousand, six hundred twenty-four".