2114045200 has 60 divisors (see below), whose sum is σ = 5377775220. Its totient is φ = 795873280.

The previous prime is 2114045191. The next prime is 2114045201. The reversal of 2114045200 is 25404112.

It can be written as a sum of positive squares in 6 ways, for example, as 48888064 + 2065157136 = 6992^2 + 45444^2 .

It is not an unprimeable number, because it can be changed into a prime (2114045201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148645 + ... + 162244.

It is an arithmetic number, because the mean of its divisors is an integer number (89629587).

Almost surely, 2^2114045200 is an apocalyptic number.

2114045200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114045200 is an abundant number, since it is smaller than the sum of its proper divisors (3263730020).

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

2114045200 is a wasteful number, since it uses less digits than its factorization.

2114045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310924 (or 310913 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2114045200 is about 45978.7472643612. The cubic root of 2114045200 is about 1283.4277429093.

Adding to 2114045200 its reverse (25404112), we get a palindrome (2139449312).

The spelling of 2114045200 in words is "two billion, one hundred fourteen million, forty-five thousand, two hundred".