2414135440 has 80 divisors (see below), whose sum is σ = 5918281920. Its totient is φ = 913282560.

The previous prime is 2414135419. The next prime is 2414135443. The reversal of 2414135440 is 445314142.

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 = 2414135399 and 2414135408.

It is not an unprimeable number, because it can be changed into a prime (2414135443) 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, 1332135 + ... + 1333945.

It is an arithmetic number, because the mean of its divisors is an integer number (73978524).

Almost surely, 2^2414135440 is an apocalyptic number.

2414135440 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 2414135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959140960).

2414135440 is an abundant number, since it is smaller than the sum of its proper divisors (3504146480).

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

2414135440 is a wasteful number, since it uses less digits than its factorization.

2414135440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 2414135440 is about 49133.8522812938. The cubic root of 2414135440 is about 1341.4892924128.

Adding to 2414135440 its reverse (445314142), we get a palindrome (2859449582).

The spelling of 2414135440 in words is "two billion, four hundred fourteen million, one hundred thirty-five thousand, four hundred forty".