2478400753 has 2 divisors, whose sum is σ = 2478400754. Its totient is φ = 2478400752.

The previous prime is 2478400733. The next prime is 2478400789. The reversal of 2478400753 is 3570048742.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1686991329 + 791409424 = 41073^2 + 28132^2 .

It is a cyclic number.

It is not a de Polignac number, because 2478400753 - 2¹⁷ = 2478269681 is a prime.

It is a super-3 number, since 3×2478400753³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2478400723) 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 as a sum of consecutive naturals, namely, 1239200376 + 1239200377.

It is an arithmetic number, because the mean of its divisors is an integer number (1239200377).

Almost surely, 2^2478400753 is an apocalyptic number.

It is an amenable number.

2478400753 is a deficient number, since it is larger than the sum of its proper divisors (1).

2478400753 is an equidigital number, since it uses as much as digits as its factorization.

2478400753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 188160, while the sum is 40.

The square root of 2478400753 is about 49783.5389762520. The cubic root of 2478400753 is about 1353.2888724032.

The spelling of 2478400753 in words is "two billion, four hundred seventy-eight million, four hundred thousand, seven hundred fifty-three".