2223466776720 has 960 divisors, whose sum is σ = 9069259530240. Its totient is φ = 495703701504.

The previous prime is 2223466776607. The next prime is 2223466776793. The reversal of 2223466776720 is 276776643222.

2223466776720 is a `hidden beast` number, since 22 + 23 + 466 + 7 + 76 + 72 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 3255441499 + ... + 3255442181.

It is an arithmetic number, because the mean of its divisors is an integer number (9447145344).

Almost surely, 2^{2223466776720} is an apocalyptic number.

2223466776720 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 2223466776720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534629765120).

2223466776720 is an abundant number, since it is smaller than the sum of its proper divisors (6845792753520).

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

2223466776720 is a wasteful number, since it uses less digits than its factorization.

2223466776720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 2223466776720 in words is "two trillion, two hundred twenty-three billion, four hundred sixty-six million, seven hundred seventy-six thousand, seven hundred twenty".