2028243790800 has 1200 divisors, whose sum is σ = 7821897283200. Its totient is φ = 501869260800.

The previous prime is 2028243790739. The next prime is 2028243790813. The reversal of 2028243790800 is 80973428202.

2028243790800 is a `hidden beast` number, since 202 + 8 + 2 + 437 + 9 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×2028243790800² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11205766710 + ... + 11205766890.

It is an arithmetic number, because the mean of its divisors is an integer number (6518247736).

Almost surely, 2^{2028243790800} is an apocalyptic number.

2028243790800 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 2028243790800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910948641600).

2028243790800 is an abundant number, since it is smaller than the sum of its proper divisors (5793653492400).

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

2028243790800 is a wasteful number, since it uses less digits than its factorization.

2028243790800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2028243790800 in words is "two trillion, twenty-eight billion, two hundred forty-three million, seven hundred ninety thousand, eight hundred".