2014189200 has 480 divisors, whose sum is σ = 7611120000. Its totient is φ = 505128960.

The previous prime is 2014189193. The next prime is 2014189201. The reversal of 2014189200 is 29814102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014189201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18478746 + ... + 18478854.

It is an arithmetic number, because the mean of its divisors is an integer number (15856500).

Almost surely, 2^2014189200 is an apocalyptic number.

2014189200 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 2014189200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805560000).

2014189200 is an abundant number, since it is smaller than the sum of its proper divisors (5596930800).

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

2014189200 is a wasteful number, since it uses less digits than its factorization.

2014189200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2014189200 is about 44879.7192504588. The cubic root of 2014189200 is about 1262.8935766027.

The spelling of 2014189200 in words is "two billion, fourteen million, one hundred eighty-nine thousand, two hundred".