2028240000 has 400 divisors, whose sum is σ = 7566695070. Its totient is φ = 539136000.

The previous prime is 2028239999. The next prime is 2028240017. The reversal of 2028240000 is 428202.

It can be written as a sum of positive squares in 5 ways, for example, as 118200384 + 1910039616 = 10872^2 + 43704^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×2028240000² = 8227514995200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6479844 + ... + 6480156.

Almost surely, 2^2028240000 is an apocalyptic number.

2028240000 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 2028240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783347535).

2028240000 is an abundant number, since it is smaller than the sum of its proper divisors (5538455070).

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

2028240000 is an frugal number, since it uses more digits than its factorization.

2028240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2028240000 is about 45035.9856115085. The cubic root of 2028240000 is about 1265.8233845398.

Adding to 2028240000 its reverse (428202), we get a palindrome (2028668202).

The spelling of 2028240000 in words is "two billion, twenty-eight million, two hundred forty thousand".