2411716240 has 80 divisors (see below), whose sum is σ = 5867825328. Its totient is φ = 920844288.

The previous prime is 2411716213. The next prime is 2411716243. The reversal of 2411716240 is 426171142.

It can be written as a sum of positive squares in 8 ways, for example, as 8363664 + 2403352576 = 2892^2 + 49024^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2411716199 and 2411716208.

It is not an unprimeable number, because it can be changed into a prime (2411716243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149194 + ... + 164566.

Almost surely, 2^2411716240 is an apocalyptic number.

2411716240 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 2411716240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933912664).

2411716240 is an abundant number, since it is smaller than the sum of its proper divisors (3456109088).

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

2411716240 is a wasteful number, since it uses less digits than its factorization.

2411716240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15476 (or 15470 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2411716240 is about 49109.2276461359. The cubic root of 2411716240 is about 1341.0410414582.

Adding to 2411716240 its reverse (426171142), we get a palindrome (2837887382).

The spelling of 2411716240 in words is "two billion, four hundred eleven million, seven hundred sixteen thousand, two hundred forty".