2540514452001 has 16 divisors (see below), whose sum is σ = 3544259979264. Its totient is φ = 1615623912144.

The previous prime is 2540514451999. The next prime is 2540514452011. The reversal of 2540514452001 is 1002544150452.

It is a happy number.

It is not a de Polignac number, because 2540514452001 - 2¹ = 2540514451999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2540514452011) 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 in 15 ways as a sum of consecutive naturals, for example, 50136871 + ... + 50187516.

It is an arithmetic number, because the mean of its divisors is an integer number (221516248704).

Almost surely, 2^{2540514452001} is an apocalyptic number.

It is an amenable number.

2540514452001 is a deficient number, since it is larger than the sum of its proper divisors (1003745527263).

2540514452001 is a wasteful number, since it uses less digits than its factorization.

2540514452001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100324780.

The product of its (nonzero) digits is 32000, while the sum is 33.

The spelling of 2540514452001 in words is "two trillion, five hundred forty billion, five hundred fourteen million, four hundred fifty-two thousand, one".