2228904576864 has 72 divisors (see below), whose sum is σ = 7243939881360. Its totient is φ = 636829878528.

The previous prime is 2228904576863. The next prime is 2228904576893. The reversal of 2228904576864 is 4686754098222.

2228904576864 is a `hidden beast` number, since 2 + 22 + 89 + 0 + 457 + 6 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2228904576864² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228904576863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552801699 + ... + 552805730.

It is an arithmetic number, because the mean of its divisors is an integer number (100610276130).

Almost surely, 2^{2228904576864} is an apocalyptic number.

2228904576864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2228904576864 is an abundant number, since it is smaller than the sum of its proper divisors (5015035304496).

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

2228904576864 is a wasteful number, since it uses less digits than its factorization.

2228904576864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105607452 (or 1105607441 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 2228904576864 in words is "two trillion, two hundred twenty-eight billion, nine hundred four million, five hundred seventy-six thousand, eight hundred sixty-four".