2045655744 has 112 divisors (see below), whose sum is σ = 5971397760. Its totient is φ = 612874240.

The previous prime is 2045655743. The next prime is 2045655749. The reversal of 2045655744 is 4475565402.

It is a junction number, because it is equal to n+sod(n) for n = 2045655696 and 2045655705.

It is not an unprimeable number, because it can be changed into a prime (2045655743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182527 + ... + 193409.

Almost surely, 2^2045655744 is an apocalyptic number.

2045655744 is a gapful number since it is divisible by the number (24) 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 2045655744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985698880).

2045655744 is an abundant number, since it is smaller than the sum of its proper divisors (3925742016).

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

2045655744 is a wasteful number, since it uses less digits than its factorization.

2045655744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10998 (or 10988 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 42.

The square root of 2045655744 is about 45228.9259655809. The cubic root of 2045655744 is about 1269.4361156365.

The spelling of 2045655744 in words is "two billion, forty-five million, six hundred fifty-five thousand, seven hundred forty-four".