2540013320511 has 12 divisors (see below), whose sum is σ = 3731093013960. Its totient is φ = 1664641497840.

The previous prime is 2540013320477. The next prime is 2540013320543. The reversal of 2540013320511 is 1150233100452.

2540013320511 is a `hidden beast` number, since 25 + 400 + 1 + 33 + 205 + 1 + 1 = 666.

It is not a de Polignac number, because 2540013320511 - 2¹⁸ = 2540013058367 is a prime.

It is a super-2 number, since 2×2540013320511² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540013320111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2391725760 + ... + 2391726821.

It is an arithmetic number, because the mean of its divisors is an integer number (310924417830).

Almost surely, 2^{2540013320511} is an apocalyptic number.

2540013320511 is a deficient number, since it is larger than the sum of its proper divisors (1191079693449).

2540013320511 is a wasteful number, since it uses less digits than its factorization.

2540013320511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783452646 (or 4783452643 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 2540013320511 its reverse (1150233100452), we get a palindrome (3690246420963).

The spelling of 2540013320511 in words is "two trillion, five hundred forty billion, thirteen million, three hundred twenty thousand, five hundred eleven".