2223926772480 has 720 divisors, whose sum is σ = 9135159264000. Its totient is φ = 506049306624.

The previous prime is 2223926772469. The next prime is 2223926772493. The reversal of 2223926772480 is 842776293222.

2223926772480 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 92 + 6 + 7 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 79 ways as a sum of consecutive naturals, for example, 164740771 + ... + 164754269.

It is an arithmetic number, because the mean of its divisors is an integer number (12687721200).

Almost surely, 2^{2223926772480} is an apocalyptic number.

2223926772480 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 2223926772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567579632000).

2223926772480 is an abundant number, since it is smaller than the sum of its proper divisors (6911232491520).

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

2223926772480 is a wasteful number, since it uses less digits than its factorization.

2223926772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13766 (or 13743 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 2223926772480 in words is "two trillion, two hundred twenty-three billion, nine hundred twenty-six million, seven hundred seventy-two thousand, four hundred eighty".