2211047130096 has 640 divisors, whose sum is σ = 8121080217600. Its totient is φ = 560693145600.

The previous prime is 2211047130041. The next prime is 2211047130119. The reversal of 2211047130096 is 6900317401122.

2211047130096 is a `hidden beast` number, since 221 + 1 + 0 + 47 + 1 + 300 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2211047130096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 217810621 + ... + 217820771.

It is an arithmetic number, because the mean of its divisors is an integer number (12689187840).

Almost surely, 2^{2211047130096} 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 2211047130096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060540108800).

2211047130096 is an abundant number, since it is smaller than the sum of its proper divisors (5910033087504).

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

2211047130096 is a wasteful number, since it uses less digits than its factorization.

2211047130096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10434 (or 10422 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 2211047130096 in words is "two trillion, two hundred eleven billion, forty-seven million, one hundred thirty thousand, ninety-six".