2012314240 has 64 divisors (see below), whose sum is σ = 4823300520. Its totient is φ = 802816000.

The previous prime is 2012314237. The next prime is 2012314243. The reversal of 2012314240 is 424132102.

It is an interprime number because it is at equal distance from previous prime (2012314237) and next prime (2012314243).

It can be written as a sum of positive squares in 4 ways, for example, as 1935296064 + 77018176 = 43992^2 + 8776^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2012314243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252720 + ... + 260560.

Almost surely, 2^2012314240 is an apocalyptic number.

2012314240 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 2012314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411650260).

2012314240 is an abundant number, since it is smaller than the sum of its proper divisors (2810986280).

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

2012314240 is an equidigital number, since it uses as much as digits as its factorization.

2012314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8261 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2012314240 is about 44858.8256645222. The cubic root of 2012314240 is about 1262.5015892540.

Adding to 2012314240 its reverse (424132102), we get a palindrome (2436446342).

The spelling of 2012314240 in words is "two billion, twelve million, three hundred fourteen thousand, two hundred forty".