2114353200 has 120 divisors (see below), whose sum is σ = 7067547648. Its totient is φ = 539306240.

The previous prime is 2114353187. The next prime is 2114353201. The reversal of 2114353200 is 23534112.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (2114353201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10704 + ... + 65903.

Almost surely, 2^2114353200 is an apocalyptic number.

2114353200 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 2114353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533773824).

2114353200 is an abundant number, since it is smaller than the sum of its proper divisors (4953194448).

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

2114353200 is a wasteful number, since it uses less digits than its factorization.

2114353200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76651 (or 76640 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2114353200 is about 45982.0965159267. The cubic root of 2114353200 is about 1283.4900683741.

Adding to 2114353200 its reverse (23534112), we get a palindrome (2137887312).

The spelling of 2114353200 in words is "two billion, one hundred fourteen million, three hundred fifty-three thousand, two hundred".