2414020240 has 40 divisors (see below), whose sum is σ = 5624963640. Its totient is φ = 963480576.

The previous prime is 2414020201. The next prime is 2414020249. The reversal of 2414020240 is 420204142.

It can be written as a sum of positive squares in 4 ways, for example, as 77651344 + 2336368896 = 8812^2 + 48336^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2414020249) 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, 3546 + ... + 69574.

It is an arithmetic number, because the mean of its divisors is an integer number (140624091).

Almost surely, 2^2414020240 is an apocalyptic number.

2414020240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414020240 is an abundant number, since it is smaller than the sum of its proper divisors (3210943400).

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

2414020240 is a wasteful number, since it uses less digits than its factorization.

2414020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66499 (or 66493 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2414020240 is about 49132.6799594730. The cubic root of 2414020240 is about 1341.4679539215.

Adding to 2414020240 its reverse (420204142), we get a palindrome (2834224382).

The spelling of 2414020240 in words is "two billion, four hundred fourteen million, twenty thousand, two hundred forty".