2014301400 has 192 divisors, whose sum is σ = 6420124800. Its totient is φ = 522255360.

The previous prime is 2014301381. The next prime is 2014301413. The reversal of 2014301400 is 41034102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2014301400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3577519 + ... + 3578081.

It is an arithmetic number, because the mean of its divisors is an integer number (33438150).

Almost surely, 2^2014301400 is an apocalyptic number.

2014301400 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 2014301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210062400).

2014301400 is an abundant number, since it is smaller than the sum of its proper divisors (4405823400).

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

2014301400 is a wasteful number, since it uses less digits than its factorization.

2014301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2014301400 is about 44880.9692408709. The cubic root of 2014301400 is about 1262.9170259106.

Adding to 2014301400 its reverse (41034102), we get a palindrome (2055335502).

The spelling of 2014301400 in words is "two billion, fourteen million, three hundred one thousand, four hundred".