2014400020 has 24 divisors (see below), whose sum is σ = 4231428264. Its totient is φ = 805533696.

The previous prime is 2014399999. The next prime is 2014400021. The reversal of 2014400020 is 200044102.

It can be written as a sum of positive squares in 4 ways, for example, as 757130256 + 1257269764 = 27516^2 + 35458^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014400021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71484 + ... + 95596.

It is an arithmetic number, because the mean of its divisors is an integer number (176309511).

Almost surely, 2^2014400020 is an apocalyptic number.

2014400020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014400020 is an abundant number, since it is smaller than the sum of its proper divisors (2217028244).

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

2014400020 is a wasteful number, since it uses less digits than its factorization.

2014400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28299 (or 28297 counting only the distinct ones).

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

The square root of 2014400020 is about 44882.0679113608. The cubic root of 2014400020 is about 1262.9376363390.

Adding to 2014400020 its reverse (200044102), we get a palindrome (2214444122).

The spelling of 2014400020 in words is "two billion, fourteen million, four hundred thousand, twenty".