2413658641 has 9 divisors (see below), whose sum is σ = 2450817009. Its totient is φ = 2377057536.

The previous prime is 2413658557. The next prime is 2413658651. The reversal of 2413658641 is 1468563142.

It is a happy number.

The square root of 2413658641 is 49129.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 28313041 + 2385345600 = 5321^2 + 48840^2 .

It is not a de Polignac number, because 2413658641 - 2⁹ = 2413658129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2413658594 and 2413658603.

It is not an unprimeable number, because it can be changed into a prime (2413658651) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3586081 + ... + 3586753.

It is an arithmetic number, because the mean of its divisors is an integer number (272313001).

Almost surely, 2^2413658641 is an apocalyptic number.

2413658641 is the 49129-th square number.

2413658641 is the 24565-th centered octagonal number.

It is an amenable number.

2413658641 is a deficient number, since it is larger than the sum of its proper divisors (37158368).

2413658641 is an frugal number, since it uses more digits than its factorization.

2413658641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 746 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The cubic root of 2413658641 is about 1341.4009705432.

The spelling of 2413658641 in words is "two billion, four hundred thirteen million, six hundred fifty-eight thousand, six hundred forty-one".