2014340400 has 150 divisors (see below), whose sum is σ = 7229422332. Its totient is φ = 537148800.

The previous prime is 2014340389. The next prime is 2014340411. The reversal of 2014340400 is 40434102.

It is an interprime number because it is at equal distance from previous prime (2014340389) and next prime (2014340411).

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 1315 + ... + 63485.

Almost surely, 2^2014340400 is an apocalyptic number.

2014340400 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 2014340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614711166).

2014340400 is an abundant number, since it is smaller than the sum of its proper divisors (5215081932).

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

2014340400 is a wasteful number, since it uses less digits than its factorization.

2014340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62201 (or 62181 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2014340400 is about 44881.4037213633. The cubic root of 2014340400 is about 1262.9251765356.

Adding to 2014340400 its reverse (40434102), we get a palindrome (2054774502).

The spelling of 2014340400 in words is "two billion, fourteen million, three hundred forty thousand, four hundred".