2542416401 has 6 divisors (see below), whose sum is σ = 2957504850. Its totient is φ = 2179214016.

The previous prime is 2542416379. The next prime is 2542416403. The reversal of 2542416401 is 1046142452.

It can be written as a sum of positive squares in only one way, i.e., 2176689025 + 365727376 = 46655^2 + 19124^2 .

It is not a de Polignac number, because 2542416401 - 2¹⁴ = 2542400017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2542416403) 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 5 ways as a sum of consecutive naturals, for example, 25942976 + ... + 25943073.

It is an arithmetic number, because the mean of its divisors is an integer number (492917475).

Almost surely, 2^2542416401 is an apocalyptic number.

It is an amenable number.

2542416401 is a deficient number, since it is larger than the sum of its proper divisors (415088449).

2542416401 is an equidigital number, since it uses as much as digits as its factorization.

2542416401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51886063 (or 51886056 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 2542416401 is about 50422.3799616797. The cubic root of 2542416401 is about 1364.8415244464.

Adding to 2542416401 its reverse (1046142452), we get a palindrome (3588558853).

The spelling of 2542416401 in words is "two billion, five hundred forty-two million, four hundred sixteen thousand, four hundred one".