2538442376001 has 27 divisors (see below), whose sum is σ = 4265330143971. Its totient is φ = 1450519381584.

The previous prime is 2538442375969. The next prime is 2538442376053. The reversal of 2538442376001 is 1006732448352.

The square root of 2538442376001 is 1593249.

It is a perfect power (a square), and thus also a powerful number.

2538442376001 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 4 + 4 + 2 + 37 + 600 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1663581460401 + 874860915600 = 1289799^2 + 935340^2 .

It is not a de Polignac number, because 2538442376001 - 2⁵ = 2538442375969 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2538442372001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33420295 + ... + 33496163.

Almost surely, 2^{2538442376001} is an apocalyptic number.

2538442376001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2538442376001 is the 1593249-th square number.

2538442376001 is the 796625-th centered octagonal number.

It is an amenable number.

2538442376001 is a deficient number, since it is larger than the sum of its proper divisors (1726887767970).

2538442376001 is an frugal number, since it uses more digits than its factorization.

2538442376001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151758 (or 75879 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2538442376001 in words is "two trillion, five hundred thirty-eight billion, four hundred forty-two million, three hundred seventy-six thousand, one".