2014100000 has 144 divisors (see below), whose sum is σ = 5409778752. Its totient is φ = 732000000.

The previous prime is 2014099987. The next prime is 2014100021. The reversal of 2014100000 is 14102.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 1099085 + ... + 1100915.

It is an arithmetic number, because the mean of its divisors is an integer number (37567908).

Almost surely, 2^2014100000 is an apocalyptic number.

2014100000 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 2014100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704889376).

2014100000 is an abundant number, since it is smaller than the sum of its proper divisors (3395678752).

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

2014100000 is an equidigital number, since it uses as much as digits as its factorization.

2014100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2014100000 is about 44878.7254720987. The cubic root of 2014100000 is about 1262.8749335725.

Adding to 2014100000 its reverse (14102), we get a palindrome (2014114102).

The spelling of 2014100000 in words is "two billion, fourteen million, one hundred thousand".