2420267829841 has 9 divisors (see below), whose sum is σ = 2571039249681. Its totient is φ = 2277874242432.

The previous prime is 2420267829787. The next prime is 2420267829857. The reversal of 2420267829841 is 1489287620242.

The square root of 2420267829841 is 1555721.

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 160417071441 + 2259850758400 = 400521^2 + 1503280^2 .

It is not a de Polignac number, because 2420267829841 - 2¹⁷ = 2420267698769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2420267829041) 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 8 ways as a sum of consecutive naturals, for example, 26401501 + ... + 26493013.

Almost surely, 2^{2420267829841} is an apocalyptic number.

2420267829841 is the 1555721-st square number.

2420267829841 is the 777861-st centered octagonal number.

It is an amenable number.

2420267829841 is a deficient number, since it is larger than the sum of its proper divisors (150771419840).

2420267829841 is an frugal number, since it uses more digits than its factorization.

2420267829841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183060 (or 91530 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 2420267829841 in words is "two trillion, four hundred twenty billion, two hundred sixty-seven million, eight hundred twenty-nine thousand, eight hundred forty-one".