2270782218096 has 480 divisors, whose sum is σ = 7700892825600. Its totient is φ = 610185830400.

The previous prime is 2270782218079. The next prime is 2270782218121. The reversal of 2270782218096 is 6908122870722.

2270782218096 is a `hidden beast` number, since 2 + 270 + 78 + 2 + 218 + 0 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1890742296 + ... + 1890743496.

It is an arithmetic number, because the mean of its divisors is an integer number (16043526720).

Almost surely, 2^{2270782218096} 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 2270782218096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850446412800).

2270782218096 is an abundant number, since it is smaller than the sum of its proper divisors (5430110607504).

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

2270782218096 is a wasteful number, since it uses less digits than its factorization.

2270782218096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 2270782218096 in words is "two trillion, two hundred seventy billion, seven hundred eighty-two million, two hundred eighteen thousand, ninety-six".