2114442400 has 144 divisors (see below), whose sum is σ = 5918996160. Its totient is φ = 722534400.

The previous prime is 2114442353. The next prime is 2114442433. The reversal of 2114442400 is 42444112.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2749216 + ... + 2749984.

It is an arithmetic number, because the mean of its divisors is an integer number (41104140).

Almost surely, 2^2114442400 is an apocalyptic number.

2114442400 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 2114442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959498080).

2114442400 is an abundant number, since it is smaller than the sum of its proper divisors (3804553760).

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

2114442400 is a wasteful number, since it uses less digits than its factorization.

2114442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2114442400 is about 45983.0664484221. The cubic root of 2114442400 is about 1283.5081173459.

Adding to 2114442400 its reverse (42444112), we get a palindrome (2156886512).

The spelling of 2114442400 in words is "two billion, one hundred fourteen million, four hundred forty-two thousand, four hundred".