2014004200 has 96 divisors (see below), whose sum is σ = 5262163200. Its totient is φ = 711279360.

The previous prime is 2014004197. The next prime is 2014004219. The reversal of 2014004200 is 24004102.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 42961 + ... + 76639.

It is an arithmetic number, because the mean of its divisors is an integer number (54814200).

Almost surely, 2^2014004200 is an apocalyptic number.

2014004200 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 2014004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631081600).

2014004200 is an abundant number, since it is smaller than the sum of its proper divisors (3248159000).

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

2014004200 is a wasteful number, since it uses less digits than its factorization.

2014004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33731 (or 33722 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2014004200 is about 44877.6581385437. The cubic root of 2014004200 is about 1262.8549105123.

Adding to 2014004200 its reverse (24004102), we get a palindrome (2038008302).

The spelling of 2014004200 in words is "two billion, fourteen million, four thousand, two hundred".