2045809920 has 864 divisors, whose sum is σ = 8925444864. Its totient is φ = 389283840.

The previous prime is 2045809907. The next prime is 2045809921. The reversal of 2045809920 is 299085402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045809921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55292142 + ... + 55292178.

It is an arithmetic number, because the mean of its divisors is an integer number (10330376).

Almost surely, 2^2045809920 is an apocalyptic number.

2045809920 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 2045809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462722432).

2045809920 is an abundant number, since it is smaller than the sum of its proper divisors (6879634944).

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

2045809920 is a wasteful number, since it uses less digits than its factorization.

2045809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 2045809920 is about 45230.6303294571. The cubic root of 2045809920 is about 1269.4680062526.

The spelling of 2045809920 in words is "two billion, forty-five million, eight hundred nine thousand, nine hundred twenty".