2546286345 has 48 divisors (see below), whose sum is σ = 4529410704. Its totient is φ = 1323283200.

The previous prime is 2546286343. The next prime is 2546286359. The reversal of 2546286345 is 5436826452.

2546286345 is a `hidden beast` number, since 2 + 5 + 4 + 6 + 2 + 8 + 634 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2494403136 + 51883209 = 49944^2 + 7203^2 .

It is not a de Polignac number, because 2546286345 - 2¹ = 2546286343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2546286345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2546286341) 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 47 ways as a sum of consecutive naturals, for example, 3101035 + ... + 3101855.

It is an arithmetic number, because the mean of its divisors is an integer number (94362723).

Almost surely, 2^2546286345 is an apocalyptic number.

It is an amenable number.

2546286345 is a deficient number, since it is larger than the sum of its proper divisors (1983124359).

2546286345 is an frugal number, since it uses more digits than its factorization.

2546286345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 870 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 2546286345 is about 50460.7406307121. The cubic root of 2546286345 is about 1365.5336720950.

The spelling of 2546286345 in words is "two billion, five hundred forty-six million, two hundred eighty-six thousand, three hundred forty-five".