2045859920 has 90 divisors (see below), whose sum is σ = 5163939018. Its totient is φ = 753452544.

The previous prime is 2045859899. The next prime is 2045859961. The reversal of 2045859920 is 299585402.

It can be written as a sum of positive squares in 9 ways, for example, as 1677066304 + 368793616 = 40952^2 + 19204^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5259086 + ... + 5259474.

Almost surely, 2^2045859920 is an apocalyptic number.

2045859920 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 2045859920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581969509).

2045859920 is an abundant number, since it is smaller than the sum of its proper divisors (3118079098).

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

2045859920 is an equidigital number, since it uses as much as digits as its factorization.

2045859920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 2045859920 is about 45231.1830488657. The cubic root of 2045859920 is about 1269.4783481849.

The spelling of 2045859920 in words is "two billion, forty-five million, eight hundred fifty-nine thousand, nine hundred twenty".