2814000200 has 180 divisors, whose sum is σ = 7436403225. Its totient is φ = 990264000.

The previous prime is 2814000173. The next prime is 2814000223. The reversal of 2814000200 is 20004182.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2814000200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2757720196 + 56280004 = 52514^2 + 7502^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=37510.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 90774185 + ... + 90774215.

Almost surely, 2^2814000200 is an apocalyptic number.

2814000200 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 2814000200

2814000200 is an abundant number, since it is smaller than the sum of its proper divisors (4622403025).

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

2814000200 is an equidigital number, since it uses as much as digits as its factorization.

2814000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2814000200 is about 53047.1507246148. The cubic root of 2814000200 is about 1411.8049751109.

Multiplying 2814000200 by its product of nonzero digits (128), we get a square (360192025600 = 600160²).

Adding to 2814000200 its reverse (20004182), we get a palindrome (2834004382).

The spelling of 2814000200 in words is "two billion, eight hundred fourteen million, two hundred", and thus it is an aban number.