2542065813 has 24 divisors (see below), whose sum is σ = 4331798016. Its totient is φ = 1405749600.

The previous prime is 2542065791. The next prime is 2542065821. The reversal of 2542065813 is 3185602452.

2542065813 is a `hidden beast` number, since 2 + 54 + 20 + 6 + 581 + 3 = 666.

It is not a de Polignac number, because 2542065813 - 2¹⁴ = 2542049429 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542065833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648858 + ... + 652763.

It is an arithmetic number, because the mean of its divisors is an integer number (180491584).

Almost surely, 2^2542065813 is an apocalyptic number.

It is an amenable number.

2542065813 is a deficient number, since it is larger than the sum of its proper divisors (1789732203).

2542065813 is a wasteful number, since it uses less digits than its factorization.

2542065813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301665 (or 1301662 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2542065813 is about 50418.9033300011. The cubic root of 2542065813 is about 1364.7787863552.

The spelling of 2542065813 in words is "two billion, five hundred forty-two million, sixty-five thousand, eight hundred thirteen".