2045808480 has 384 divisors, whose sum is σ = 7054387200. Its totient is φ = 497229824.

The previous prime is 2045808419. The next prime is 2045808481. The reversal of 2045808480 is 848085402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045808481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34674691 + ... + 34674749.

It is an arithmetic number, because the mean of its divisors is an integer number (18370800).

Almost surely, 2^2045808480 is an apocalyptic number.

2045808480 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 2045808480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527193600).

2045808480 is an abundant number, since it is smaller than the sum of its proper divisors (5008578720).

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

2045808480 is a wasteful number, since it uses less digits than its factorization.

2045808480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 2045808480 is about 45230.6144110380. The cubic root of 2045808480 is about 1269.4677084025.

The spelling of 2045808480 in words is "two billion, forty-five million, eight hundred eight thousand, four hundred eighty".