2005597832 has 64 divisors (see below), whose sum is σ = 4451280000. Its totient is φ = 846635328.

The previous prime is 2005597799. The next prime is 2005597837. The reversal of 2005597832 is 2387955002.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2005597832.

It is not an unprimeable number, because it can be changed into a prime (2005597837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178394 + ... + 189302.

It is an arithmetic number, because the mean of its divisors is an integer number (69551250).

Almost surely, 2^2005597832 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 2005597832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225640000).

2005597832 is an abundant number, since it is smaller than the sum of its proper divisors (2445682168).

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

2005597832 is a wasteful number, since it uses less digits than its factorization.

2005597832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11003 (or 10985 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 2005597832 is about 44783.9014825640. The cubic root of 2005597832 is about 1261.0954259772.

The spelling of 2005597832 in words is "two billion, five million, five hundred ninety-seven thousand, eight hundred thirty-two".