2219965660800 has 192 divisors, whose sum is σ = 8124457977600. Its totient is φ = 591990819840.

The previous prime is 2219965660789. The next prime is 2219965660823. The reversal of 2219965660800 is 80665699122.

It is a happy number.

2219965660800 is a `hidden beast` number, since 2 + 21 + 9 + 9 + 6 + 5 + 6 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 12760624 + ... + 12933423.

It is an arithmetic number, because the mean of its divisors is an integer number (42314885300).

Almost surely, 2^{2219965660800} is an apocalyptic number.

2219965660800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2219965660800 is an abundant number, since it is smaller than the sum of its proper divisors (5904492316800).

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

2219965660800 is a wasteful number, since it uses less digits than its factorization.

2219965660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25694080 (or 25694057 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 2219965660800 in words is "two trillion, two hundred nineteen billion, nine hundred sixty-five million, six hundred sixty thousand, eight hundred".