2028140400 has 480 divisors, whose sum is σ = 7811500032. Its totient is φ = 443289600.

The previous prime is 2028140363. The next prime is 2028140449. The reversal of 2028140400 is 40418202.

It is a super-2 number, since 2×2028140400² = 8226706964224320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9094689 + ... + 9094911.

Almost surely, 2^2028140400 is an apocalyptic number.

2028140400 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 2028140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905750016).

2028140400 is an abundant number, since it is smaller than the sum of its proper divisors (5783359632).

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

2028140400 is a wasteful number, since it uses less digits than its factorization.

2028140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2028140400 is about 45034.8798155385. The cubic root of 2028140400 is about 1265.8026641003.

Adding to 2028140400 its reverse (40418202), we get a palindrome (2068558602).

The spelling of 2028140400 in words is "two billion, twenty-eight million, one hundred forty thousand, four hundred".