2028392469216 has 576 divisors, whose sum is σ = 6427417651200. Its totient is φ = 627840460800.

The previous prime is 2028392469211. The next prime is 2028392469223. The reversal of 2028392469216 is 6129642938202.

2028392469216 is a `hidden beast` number, since 2 + 0 + 2 + 83 + 92 + 469 + 2 + 16 = 666.

It is a super-2 number, since 2×2028392469216² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028392469211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1251320886 + ... + 1251322506.

It is an arithmetic number, because the mean of its divisors is an integer number (11158711200).

Almost surely, 2^{2028392469216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028392469216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213708825600).

2028392469216 is an abundant number, since it is smaller than the sum of its proper divisors (4399025181984).

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

2028392469216 is a wasteful number, since it uses less digits than its factorization.

2028392469216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 2028392469216 in words is "two trillion, twenty-eight billion, three hundred ninety-two million, four hundred sixty-nine thousand, two hundred sixteen".