2183772564 has 36 divisors (see below), whose sum is σ = 5532426900. Its totient is φ = 726297600.

The previous prime is 2183772557. The next prime is 2183772593. The reversal of 2183772564 is 4652773812.

2183772564 is a `hidden beast` number, since 2 + 1 + 83 + 7 + 7 + 2 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 510308100 + 1673464464 = 22590^2 + 40908^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2183772564³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51387 + ... + 83714.

It is an arithmetic number, because the mean of its divisors is an integer number (153678525).

Almost surely, 2^2183772564 is an apocalyptic number.

It is an amenable number.

2183772564 is an abundant number, since it is smaller than the sum of its proper divisors (3348654336).

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

2183772564 is a wasteful number, since it uses less digits than its factorization.

2183772564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135560 (or 135555 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 2183772564 is about 46730.8523782736. The cubic root of 2183772564 is about 1297.3857847718.

The spelling of 2183772564 in words is "two billion, one hundred eighty-three million, seven hundred seventy-two thousand, five hundred sixty-four".