2413135540 has 24 divisors (see below), whose sum is σ = 5068638792. Its totient is φ = 965053440.

The previous prime is 2413135477. The next prime is 2413135547. The reversal of 2413135540 is 455313142.

It can be written as a sum of positive squares in 4 ways, for example, as 1514455056 + 898680484 = 38916^2 + 29978^2 .

It is a super-2 number, since 2×2413135540² = 11646446268822183200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2413135499 and 2413135508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413135547) 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, 120312 + ... + 138928.

It is an arithmetic number, because the mean of its divisors is an integer number (211193283).

Almost surely, 2^2413135540 is an apocalyptic number.

2413135540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413135540 is an abundant number, since it is smaller than the sum of its proper divisors (2655503252).

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

2413135540 is a wasteful number, since it uses less digits than its factorization.

2413135540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25107 (or 25105 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 2413135540 is about 49123.6759618007. The cubic root of 2413135540 is about 1341.3040583460.

Adding to 2413135540 its reverse (455313142), we get a palindrome (2868448682).

The spelling of 2413135540 in words is "two billion, four hundred thirteen million, one hundred thirty-five thousand, five hundred forty".