2004541862401 has 8 divisors (see below), whose sum is σ = 2158748530344. Its totient is φ = 1850336785920.

The previous prime is 2004541862399. The next prime is 2004541862429. The reversal of 2004541862401 is 1042681454002.

It can be written as a sum of positive squares in 4 ways, for example, as 340052259600 + 1664489602801 = 583140^2 + 1290151^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2004541862401 - 2¹ = 2004541862399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2004541862461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4109211 + ... + 4571071.

It is an arithmetic number, because the mean of its divisors is an integer number (269843566293).

Almost surely, 2^{2004541862401} is an apocalyptic number.

It is an amenable number.

2004541862401 is a deficient number, since it is larger than the sum of its proper divisors (154206667943).

2004541862401 is a wasteful number, since it uses less digits than its factorization.

2004541862401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795731.

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 2004541862401 in words is "two trillion, four billion, five hundred forty-one million, eight hundred sixty-two thousand, four hundred one".