2224320692328 has 192 divisors, whose sum is σ = 7143269253120. Its totient is φ = 635210942400.

The previous prime is 2224320692327. The next prime is 2224320692329. The reversal of 2224320692328 is 8232960234222.

It is a happy number.

2224320692328 is a `hidden beast` number, since 2 + 2 + 243 + 20 + 69 + 2 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (2224320692327) and next prime (2224320692329).

It is not an unprimeable number, because it can be changed into a prime (2224320692327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28687773 + ... + 28765203.

It is an arithmetic number, because the mean of its divisors is an integer number (37204527360).

Almost surely, 2^{2224320692328} is an apocalyptic number.

2224320692328 is a gapful number since it is divisible by the number (28) 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 2224320692328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571634626560).

2224320692328 is an abundant number, since it is smaller than the sum of its proper divisors (4918948560792).

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

2224320692328 is a wasteful number, since it uses less digits than its factorization.

2224320692328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79570 (or 79554 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 2224320692328 in words is "two trillion, two hundred twenty-four billion, three hundred twenty million, six hundred ninety-two thousand, three hundred twenty-eight".