2211681663360 has 1024 divisors, whose sum is σ = 8935121664000. Its totient is φ = 512891191296.

The previous prime is 2211681663343. The next prime is 2211681663379. The reversal of 2211681663360 is 633661861122.

2211681663360 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 6 + 8 + 1 + 6 + 633 + 6 + 0 = 666.

2211681663360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 346167046 + ... + 346173434.

It is an arithmetic number, because the mean of its divisors is an integer number (8725704750).

Almost surely, 2^{2211681663360} is an apocalyptic number.

2211681663360 is a gapful number since it is divisible by the number (20) 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 2211681663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4467560832000).

2211681663360 is an abundant number, since it is smaller than the sum of its proper divisors (6723440000640).

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

2211681663360 is a wasteful number, since it uses less digits than its factorization.

2211681663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6520 (or 6502 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2211681663360 in words is "two trillion, two hundred eleven billion, six hundred eighty-one million, six hundred sixty-three thousand, three hundred sixty".