2224477680768 has 384 divisors, whose sum is σ = 7747981363200. Its totient is φ = 598413588480.

The previous prime is 2224477680739. The next prime is 2224477680791. The reversal of 2224477680768 is 8670867744222.

It is a happy number.

2224477680768 is a `hidden beast` number, since 2 + 2 + 24 + 477 + 6 + 80 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24929673 + ... + 25018743.

It is an arithmetic number, because the mean of its divisors is an integer number (20177034800).

Almost surely, 2^{2224477680768} is an apocalyptic number.

2224477680768 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 2224477680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873990681600).

2224477680768 is an abundant number, since it is smaller than the sum of its proper divisors (5523503682432).

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

2224477680768 is a wasteful number, since it uses less digits than its factorization.

2224477680768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89280 (or 89265 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 63.

The spelling of 2224477680768 in words is "two trillion, two hundred twenty-four billion, four hundred seventy-seven million, six hundred eighty thousand, seven hundred sixty-eight".