2045727320 has 128 divisors (see below), whose sum is σ = 5680886400. Its totient is φ = 645636096.

The previous prime is 2045727289. The next prime is 2045727323. The reversal of 2045727320 is 237275402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045727323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2026976 + ... + 2027984.

It is an arithmetic number, because the mean of its divisors is an integer number (44381925).

Almost surely, 2^2045727320 is an apocalyptic number.

2045727320 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 2045727320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840443200).

2045727320 is an abundant number, since it is smaller than the sum of its proper divisors (3635159080).

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

2045727320 is a wasteful number, since it uses less digits than its factorization.

2045727320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 2045727320 is about 45229.7172221981. The cubic root of 2045727320 is about 1269.4509210113.

The spelling of 2045727320 in words is "two billion, forty-five million, seven hundred twenty-seven thousand, three hundred twenty".