2264481328896 has 720 divisors, whose sum is σ = 7212786977088. Its totient is φ = 705090355200.

The previous prime is 2264481328853. The next prime is 2264481328897. The reversal of 2264481328896 is 6988231844622.

2264481328896 is a `hidden beast` number, since 2 + 2 + 64 + 481 + 3 + 2 + 8 + 8 + 96 = 666.

2264481328896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264481328897) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8058652276 + ... + 8058652556.

Almost surely, 2^{2264481328896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264481328896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606393488544).

2264481328896 is an abundant number, since it is smaller than the sum of its proper divisors (4948305648192).

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

2264481328896 is a wasteful number, since it uses less digits than its factorization.

2264481328896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 647 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 2264481328896 in words is "two trillion, two hundred sixty-four billion, four hundred eighty-one million, three hundred twenty-eight thousand, eight hundred ninety-six".