2407242237841 has 27 divisors (see below), whose sum is σ = 2900531298171. Its totient is φ = 1991939815824.

The previous prime is 2407242237797. The next prime is 2407242237919. The reversal of 2407242237841 is 1487322427042.

It is a happy number.

The square root of 2407242237841 is 1551529.

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

It can be written as a sum of positive squares in only one way, i.e., 1262299437441 + 1144942800400 = 1123521^2 + 1070020^2 .

It is not a de Polignac number, because 2407242237841 - 2³³ = 2398652303249 is a prime.

It is a super-2 number, since 2×2407242237841² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2407242237791 and 2407242237800.

It is not an unprimeable number, because it can be changed into a prime (2407242232841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 314956566 + ... + 314964208.

Almost surely, 2^{2407242237841} is an apocalyptic number.

2407242237841 is the 1551529-th square number.

2407242237841 is the 775765-th centered octagonal number.

It is an amenable number.

2407242237841 is a deficient number, since it is larger than the sum of its proper divisors (493289060330).

2407242237841 is an frugal number, since it uses more digits than its factorization.

2407242237841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15358 (or 7679 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 46.

The spelling of 2407242237841 in words is "two trillion, four hundred seven billion, two hundred forty-two million, two hundred thirty-seven thousand, eight hundred forty-one".