2813585040 has 120 divisors (see below), whose sum is σ = 10798826688. Its totient is φ = 643104000.

The previous prime is 2813585039. The next prime is 2813585057. The reversal of 2813585040 is 405853182.

It is a happy number.

2813585040 is a `hidden beast` number, since 28 + 13 + 585 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2813584986 and 2813585004.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 274086 + ... + 284165.

Almost surely, 2^2813585040 is an apocalyptic number.

2813585040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2813585040 is an abundant number, since it is smaller than the sum of its proper divisors (7985241648).

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

2813585040 is a wasteful number, since it uses less digits than its factorization.

2813585040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558277 (or 558268 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2813585040 is about 53043.2374577570. The cubic root of 2813585040 is about 1411.7355420691.

The spelling of 2813585040 in words is "two billion, eight hundred thirteen million, five hundred eighty-five thousand, forty".