2202481664768 has 216 divisors, whose sum is σ = 5579688356256. Its totient is φ = 849255137280.

The previous prime is 2202481664753. The next prime is 2202481664771. The reversal of 2202481664768 is 8674661842022.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20980346 + ... + 21085062.

Almost surely, 2^{2202481664768} is an apocalyptic number.

2202481664768 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 2202481664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789844178128).

2202481664768 is an abundant number, since it is smaller than the sum of its proper divisors (3377206691488).

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

2202481664768 is a wasteful number, since it uses less digits than its factorization.

2202481664768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104859 (or 104834 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 56.

The spelling of 2202481664768 in words is "two trillion, two hundred two billion, four hundred eighty-one million, six hundred sixty-four thousand, seven hundred sixty-eight".