2028007554300 has 2592 divisors, whose sum is σ = 8881031577600. Its totient is φ = 391720043520.

The previous prime is 2028007554299. The next prime is 2028007554301. The reversal of 2028007554300 is 34557008202.

2028007554300 is a `hidden beast` number, since 2 + 0 + 280 + 0 + 75 + 5 + 4 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (2028007554299) and next prime (2028007554301).

It is a super-2 number, since 2×2028007554300² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028007554301) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 25670981661 + ... + 25670981739.

Almost surely, 2^{2028007554300} is an apocalyptic number.

2028007554300 is a gapful number since it is divisible by the number (20) 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 2028007554300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440515788800).

2028007554300 is an abundant number, since it is smaller than the sum of its proper divisors (6853024023300).

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

2028007554300 is a wasteful number, since it uses less digits than its factorization.

2028007554300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 2028007554300 in words is "two trillion, twenty-eight billion, seven million, five hundred fifty-four thousand, three hundred".