2540346106000 has 40 divisors (see below), whose sum is σ = 6142556889144. Its totient is φ = 1016138441600.

The previous prime is 2540346105911. The next prime is 2540346106009. The reversal of 2540346106000 is 6016430452.

It can be written as a sum of positive squares in 4 ways, for example, as 368094597264 + 2172251508736 = 606708^2 + 1473856^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2540346106009) 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 7 ways as a sum of consecutive naturals, for example, 635084527 + ... + 635088526.

Almost surely, 2^{2540346106000} is an apocalyptic number.

2540346106000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540346106000 is an abundant number, since it is smaller than the sum of its proper divisors (3602210783144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2540346106000 is a wasteful number, since it uses less digits than its factorization.

2540346106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270173076 (or 1270173060 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 2540346106000 in words is "two trillion, five hundred forty billion, three hundred forty-six million, one hundred six thousand".