2014402100 has 72 divisors (see below), whose sum is σ = 4684783488. Its totient is φ = 749865600.

The previous prime is 2014402099. The next prime is 2014402109. The reversal of 2014402100 is 12044102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014402109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73265 + ... + 96935.

Almost surely, 2^2014402100 is an apocalyptic number.

2014402100 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 2014402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342391744).

2014402100 is an abundant number, since it is smaller than the sum of its proper divisors (2670381388).

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

2014402100 is a wasteful number, since it uses less digits than its factorization.

2014402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23745 (or 23738 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2014402100 is about 44882.0910831926. The cubic root of 2014402100 is about 1262.9380710275.

Adding to 2014402100 its reverse (12044102), we get a palindrome (2026446202).

The spelling of 2014402100 in words is "two billion, fourteen million, four hundred two thousand, one hundred".