2540332814004 has 18 divisors (see below), whose sum is σ = 6421396835490. Its totient is φ = 846777604656.

The previous prime is 2540332813987. The next prime is 2540332814111. The reversal of 2540332814004 is 4004182330452.

2540332814004 is a `hidden beast` number, since 2 + 540 + 3 + 32 + 81 + 4 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2348709502500 + 191623311504 = 1532550^2 + 437748^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 70564800389 = 2540332814004 / (2 + 5 + 4 + 0 + 3 + 3 + 2 + 8 + 1 + 4 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 2540332814004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35282400159 + ... + 35282400230.

Almost surely, 2^{2540332814004} is an apocalyptic number.

It is an amenable number.

2540332814004 is an abundant number, since it is smaller than the sum of its proper divisors (3881064021486).

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

2540332814004 is a wasteful number, since it uses less digits than its factorization.

2540332814004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70564800399 (or 70564800394 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 2540332814004 in words is "two trillion, five hundred forty billion, three hundred thirty-two million, eight hundred fourteen thousand, four".