2224082828664 has 24 divisors (see below), whose sum is σ = 6023557661160. Its totient is φ = 741360942864.

The previous prime is 2224082828593. The next prime is 2224082828711. The reversal of 2224082828664 is 4668282804222.

2224082828664 is a `hidden beast` number, since 2 + 22 + 408 + 2 + 82 + 86 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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 self number, because there is not a number n which added to its sum of digits gives 2224082828664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15445019572 + ... + 15445019715.

It is an arithmetic number, because the mean of its divisors is an integer number (250981569215).

Almost surely, 2^{2224082828664} is an apocalyptic number.

2224082828664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2224082828664 is an abundant number, since it is smaller than the sum of its proper divisors (3799474832496).

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

2224082828664 is a wasteful number, since it uses less digits than its factorization.

2224082828664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30890039299 (or 30890039292 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 2224082828664 in words is "two trillion, two hundred twenty-four billion, eighty-two million, eight hundred twenty-eight thousand, six hundred sixty-four".