2040075648 has 96 divisors (see below), whose sum is σ = 6322155840. Its totient is φ = 627710976.

The previous prime is 2040075613. The next prime is 2040075659. The reversal of 2040075648 is 8465700402.

2040075648 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 0 + 7 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53136 + ... + 83087.

It is an arithmetic number, because the mean of its divisors is an integer number (65855790).

Almost surely, 2^2040075648 is an apocalyptic number.

It is an amenable number.

2040075648 is an abundant number, since it is smaller than the sum of its proper divisors (4282080192).

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

2040075648 is a wasteful number, since it uses less digits than its factorization.

2040075648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136256 (or 136241 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2040075648 is about 45167.1965922172. The cubic root of 2040075648 is about 1268.2808176351.

The spelling of 2040075648 in words is "two billion, forty million, seventy-five thousand, six hundred forty-eight".