2813240133 has 64 divisors (see below), whose sum is σ = 4704860160. Its totient is φ = 1646524800.

The previous prime is 2813240107. The next prime is 2813240137. The reversal of 2813240133 is 3310423182.

It is not a de Polignac number, because 2813240133 - 2¹⁰ = 2813239109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2813240097 and 2813240106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813240137) 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 63 ways as a sum of consecutive naturals, for example, 1253110 + ... + 1255352.

It is an arithmetic number, because the mean of its divisors is an integer number (73513440).

Almost surely, 2^2813240133 is an apocalyptic number.

It is an amenable number.

2813240133 is a deficient number, since it is larger than the sum of its proper divisors (1891620027).

2813240133 is a wasteful number, since it uses less digits than its factorization.

2813240133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2813240133 is about 53039.9861708127. The cubic root of 2813240133 is about 1411.6778532295.

It can be divided in two parts, 28132 and 40133, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 2813240133 in words is "two billion, eight hundred thirteen million, two hundred forty thousand, one hundred thirty-three".