2014434720 has 576 divisors, whose sum is σ = 7896994560. Its totient is φ = 464486400.

The previous prime is 2014434713. The next prime is 2014434727. The reversal of 2014434720 is 274344102.

2014434720 is a `hidden beast` number, since 201 + 4 + 434 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2014434713) and next prime (2014434727).

It is a super-2 number, since 2×2014434720² = 8115894482282956800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2014434727) 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 95 ways as a sum of consecutive naturals, for example, 28372285 + ... + 28372355.

It is an arithmetic number, because the mean of its divisors is an integer number (13710060).

Almost surely, 2^2014434720 is an apocalyptic number.

2014434720 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 2014434720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948497280).

2014434720 is an abundant number, since it is smaller than the sum of its proper divisors (5882559840).

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

2014434720 is a wasteful number, since it uses less digits than its factorization.

2014434720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2014434720 is about 44882.4544783371. The cubic root of 2014434720 is about 1262.9448880739.

Adding to 2014434720 its reverse (274344102), we get a palindrome (2288778822).

The spelling of 2014434720 in words is "two billion, fourteen million, four hundred thirty-four thousand, seven hundred twenty".