2028302400 has 84 divisors (see below), whose sum is σ = 6654537872. Its totient is φ = 540879360.

The previous prime is 2028302359. The next prime is 2028302401. The reversal of 2028302400 is 42038202.

It is a super-3 number, since 3×2028302400³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2028302401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206482 + ... + 216081.

Almost surely, 2^2028302400 is an apocalyptic number.

2028302400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2028302400 is an abundant number, since it is smaller than the sum of its proper divisors (4626235472).

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

2028302400 is a wasteful number, since it uses less digits than its factorization.

2028302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422588 (or 422573 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2028302400 is about 45036.6783855115. The cubic root of 2028302400 is about 1265.8363656744.

The spelling of 2028302400 in words is "two billion, twenty-eight million, three hundred two thousand, four hundred".