2541400401665 has 8 divisors (see below), whose sum is σ = 3049938978408. Its totient is φ = 2032947990400.

The previous prime is 2541400401643. The next prime is 2541400401769. The reversal of 2541400401665 is 5661040041452.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2808258049 + 2538592143616 = 52993^2 + 1593296^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2541400401665 - 2⁸ = 2541400401409 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21476462 + ... + 21594471.

It is an arithmetic number, because the mean of its divisors is an integer number (381242372301).

Almost surely, 2^{2541400401665} is an apocalyptic number.

It is an amenable number.

2541400401665 is a deficient number, since it is larger than the sum of its proper divisors (508538576743).

2541400401665 is a wasteful number, since it uses less digits than its factorization.

2541400401665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43082739.

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 2541400401665 in words is "two trillion, five hundred forty-one billion, four hundred million, four hundred one thousand, six hundred sixty-five".