2056824765 has 64 divisors (see below), whose sum is σ = 3857817600. Its totient is φ = 1036867392.

The previous prime is 2056824697. The next prime is 2056824769. The reversal of 2056824765 is 5674286502.

2056824765 is a `hidden beast` number, since 2 + 0 + 568 + 24 + 7 + 65 = 666.

It is not a de Polignac number, because 2056824765 - 2¹¹ = 2056822717 is a prime.

It is a super-2 number, since 2×2056824765² = 8461056227834610450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2056824765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056824769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1864204 + ... + 1865306.

It is an arithmetic number, because the mean of its divisors is an integer number (60278400).

Almost surely, 2^2056824765 is an apocalyptic number.

It is an amenable number.

2056824765 is a deficient number, since it is larger than the sum of its proper divisors (1800992835).

2056824765 is a wasteful number, since it uses less digits than its factorization.

2056824765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 2056824765 is about 45352.2299892740. The cubic root of 2056824765 is about 1271.7422437405.

The spelling of 2056824765 in words is "two billion, fifty-six million, eight hundred twenty-four thousand, seven hundred sixty-five".