2005935552 has 84 divisors (see below), whose sum is σ = 5883437560. Its totient is φ = 653087232.

The previous prime is 2005935551. The next prime is 2005935557. The reversal of 2005935552 is 2555395002.

2005935552 is a `hidden beast` number, since 20 + 0 + 59 + 35 + 552 = 666.

It is a super-3 number, since 3×2005935552³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005935551) by changing a digit.

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, 15727 + ... + 65262.

Almost surely, 2^2005935552 is an apocalyptic number.

It is an amenable number.

2005935552 is an abundant number, since it is smaller than the sum of its proper divisors (3877502008).

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

2005935552 is a wasteful number, since it uses less digits than its factorization.

2005935552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81050 (or 81037 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The square root of 2005935552 is about 44787.6718751935. The cubic root of 2005935552 is about 1261.1662067418.

It can be divided in two parts, 20059 and 35552, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 2005935552 in words is "two billion, five million, nine hundred thirty-five thousand, five hundred fifty-two".