2430286823680 has 72 divisors (see below), whose sum is σ = 6022030858200. Its totient is φ = 938593517568.

The previous prime is 2430286823611. The next prime is 2430286823687. The reversal of 2430286823680 is 863286820342.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 695102377984 + 1735184445696 = 833728^2 + 1317264^2 .

It is not an unprimeable number, because it can be changed into a prime (2430286823687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32698425 + ... + 32772664.

It is an arithmetic number, because the mean of its divisors is an integer number (83639317475).

Almost surely, 2^{2430286823680} is an apocalyptic number.

2430286823680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430286823680 is an abundant number, since it is smaller than the sum of its proper divisors (3591744034520).

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

2430286823680 is an equidigital number, since it uses as much as digits as its factorization.

2430286823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65471139 (or 65471125 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 52.

The spelling of 2430286823680 in words is "two trillion, four hundred thirty billion, two hundred eighty-six million, eight hundred twenty-three thousand, six hundred eighty".