2045200440 has 64 divisors (see below), whose sum is σ = 6222044160. Its totient is φ = 537703040.

The previous prime is 2045200439. The next prime is 2045200481. The reversal of 2045200440 is 440025402.

2045200440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111504 + ... + 128543.

It is an arithmetic number, because the mean of its divisors is an integer number (97219440).

Almost surely, 2^2045200440 is an apocalyptic number.

2045200440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045200440 is an abundant number, since it is smaller than the sum of its proper divisors (4176843720).

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

2045200440 is a wasteful number, since it uses less digits than its factorization.

2045200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240132 (or 240128 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 2045200440 is about 45223.8923579119. The cubic root of 2045200440 is about 1269.3419286863.

Adding to 2045200440 its reverse (440025402), we get a palindrome (2485225842).

The spelling of 2045200440 in words is "two billion, forty-five million, two hundred thousand, four hundred forty".