2005616952 has 24 divisors (see below), whose sum is σ = 5431879440. Its totient is φ = 668538960.

The previous prime is 2005616929. The next prime is 2005616971. The reversal of 2005616952 is 2596165002.

2005616952 is a `hidden beast` number, since 2 + 0 + 0 + 561 + 6 + 95 + 2 = 666.

2005616952 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13927824 + ... + 13927967.

It is an arithmetic number, because the mean of its divisors is an integer number (226328310).

Almost surely, 2^2005616952 is an apocalyptic number.

It is an amenable number.

2005616952 is an abundant number, since it is smaller than the sum of its proper divisors (3426262488).

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

2005616952 is a wasteful number, since it uses less digits than its factorization.

2005616952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27855803 (or 27855796 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2005616952 is about 44784.1149516210. The cubic root of 2005616952 is about 1261.0994334386.

The spelling of 2005616952 in words is "two billion, five million, six hundred sixteen thousand, nine hundred fifty-two".