2005552632 has 64 divisors (see below), whose sum is σ = 5106816000. Its totient is φ = 656173440.

The previous prime is 2005552621. The next prime is 2005552649. The reversal of 2005552632 is 2362555002.

It is a self number, because there is not a number n which added to its sum of digits gives 2005552632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 875793 + ... + 878079.

It is an arithmetic number, because the mean of its divisors is an integer number (79794000).

Almost surely, 2^2005552632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005552632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553408000).

2005552632 is an abundant number, since it is smaller than the sum of its proper divisors (3101263368).

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

2005552632 is a wasteful number, since it uses less digits than its factorization.

2005552632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 2005552632 is about 44783.3968340947. The cubic root of 2005552632 is about 1261.0859521700.

The spelling of 2005552632 in words is "two billion, five million, five hundred fifty-two thousand, six hundred thirty-two".