2045980800 has 288 divisors, whose sum is σ = 7686822000. Its totient is φ = 516741120.

The previous prime is 2045980799. The next prime is 2045980831. The reversal of 2045980800 is 80895402.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 545331 + ... + 549069.

Almost surely, 2^2045980800 is an apocalyptic number.

2045980800 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 2045980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843411000).

2045980800 is an abundant number, since it is smaller than the sum of its proper divisors (5640841200).

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

2045980800 is a wasteful number, since it uses less digits than its factorization.

2045980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3788 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2045980800 is about 45232.5192754063. The cubic root of 2045980800 is about 1269.5033501444.

The spelling of 2045980800 in words is "two billion, forty-five million, nine hundred eighty thousand, eight hundred".