2045532000 has 192 divisors, whose sum is σ = 6733831104. Its totient is φ = 542822400.

The previous prime is 2045531981. The next prime is 2045532011. The reversal of 2045532000 is 2355402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4475772 + ... + 4476228.

It is an arithmetic number, because the mean of its divisors is an integer number (35072037).

Almost surely, 2^2045532000 is an apocalyptic number.

2045532000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366915552).

2045532000 is an abundant number, since it is smaller than the sum of its proper divisors (4688299104).

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

2045532000 is a wasteful number, since it uses less digits than its factorization.

2045532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 2045532000 is about 45227.5579707771. The cubic root of 2045532000 is about 1269.4105185844.

Adding to 2045532000 its reverse (2355402), we get a palindrome (2047887402).

The spelling of 2045532000 in words is "two billion, forty-five million, five hundred thirty-two thousand".