2219166996480 has 768 divisors, whose sum is σ = 9085223347200. Its totient is φ = 503308615680.

The previous prime is 2219166996469. The next prime is 2219166996503. The reversal of 2219166996480 is 846996619122.

2219166996480 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 1 + 6 + 69 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253527784 + ... + 253536536.

It is an arithmetic number, because the mean of its divisors is an integer number (11829717900).

Almost surely, 2^{2219166996480} is an apocalyptic number.

2219166996480 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 2219166996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542611673600).

2219166996480 is an abundant number, since it is smaller than the sum of its proper divisors (6866056350720).

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

2219166996480 is a wasteful number, since it uses less digits than its factorization.

2219166996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8927 (or 8901 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 2219166996480 in words is "two trillion, two hundred nineteen billion, one hundred sixty-six million, nine hundred ninety-six thousand, four hundred eighty".