2028573518400 has 1701 divisors, whose sum is σ = 8686226765307. Its totient is φ = 448477286400.

The previous prime is 2028573518381. The next prime is 2028573518401. The reversal of 2028573518400 is 48153758202.

The square root of 2028573518400 is 1424280.

It is a perfect power (a square), and thus also a powerful number.

2028573518400 is a `hidden beast` number, since 2 + 0 + 28 + 5 + 73 + 518 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 522867825216 + 1505705693184 = 723096^2 + 1227072^2 .

It is a super-2 number, since 2×2028573518400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2028573518401) 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 242 ways as a sum of consecutive naturals, for example, 24440644759 + ... + 24440644841.

Almost surely, 2^{2028573518400} is an apocalyptic number.

2028573518400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2028573518400 is the 1424280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028573518400

2028573518400 is an abundant number, since it is smaller than the sum of its proper divisors (6657653246907).

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

2028573518400 is a wasteful number, since it uses less digits than its factorization.

2028573518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 2028573518400 in words is "two trillion, twenty-eight billion, five hundred seventy-three million, five hundred eighteen thousand, four hundred".