2030214400 has 108 divisors (see below), whose sum is σ = 5061199500. Its totient is φ = 806256640.

The previous prime is 2030214377. The next prime is 2030214509. The reversal of 2030214400 is 44120302.

It can be written as a sum of positive squares in 6 ways, for example, as 448084224 + 1582130176 = 21168^2 + 39776^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 952536 + ... + 954664.

Almost surely, 2^2030214400 is an apocalyptic number.

2030214400 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 2030214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530599750).

2030214400 is an abundant number, since it is smaller than the sum of its proper divisors (3030985100).

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

2030214400 is a wasteful number, since it uses less digits than its factorization.

2030214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2030214400 is about 45057.9005280983. The cubic root of 2030214400 is about 1266.2339919568.

Adding to 2030214400 its reverse (44120302), we get a palindrome (2074334702).

The spelling of 2030214400 in words is "two billion, thirty million, two hundred fourteen thousand, four hundred".