2014414100 has 72 divisors (see below), whose sum is σ = 4555208448. Its totient is φ = 772358400.

The previous prime is 2014414063. The next prime is 2014414111. The reversal of 2014414100 is 14144102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328664 + ... + 334736.

It is an arithmetic number, because the mean of its divisors is an integer number (63266784).

Almost surely, 2^2014414100 is an apocalyptic number.

2014414100 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 2014414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277604224).

2014414100 is an abundant number, since it is smaller than the sum of its proper divisors (2540794348).

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

2014414100 is a wasteful number, since it uses less digits than its factorization.

2014414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6225 (or 6218 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2014414100 is about 44882.2247666044. The cubic root of 2014414100 is about 1262.9405788398.

Adding to 2014414100 its reverse (14144102), we get a palindrome (2028558202).

The spelling of 2014414100 in words is "two billion, fourteen million, four hundred fourteen thousand, one hundred".