2284751484288 has 1920 divisors, whose sum is σ = 9041304888000. Its totient is φ = 569896943616.

The previous prime is 2284751484287. The next prime is 2284751484383. The reversal of 2284751484288 is 8824841574822.

It is a happy number.

2284751484288 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 75 + 1 + 484 + 2 + 88 = 666.

2284751484288 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 2×2284751484288² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2284751484287) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 25671364948 + ... + 25671365036.

Almost surely, 2^{2284751484288} is an apocalyptic number.

2284751484288 is a gapful number since it is divisible by the number (28) 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 2284751484288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520652444000).

2284751484288 is an abundant number, since it is smaller than the sum of its proper divisors (6756553403712).

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

2284751484288 is an equidigital number, since it uses as much as digits as its factorization.

2284751484288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 137 counting only the distinct ones).

The product of its digits is 73400320, while the sum is 63.

The spelling of 2284751484288 in words is "two trillion, two hundred eighty-four billion, seven hundred fifty-one million, four hundred eighty-four thousand, two hundred eighty-eight".