2041728953 has 24 divisors (see below), whose sum is σ = 2280428640. Its totient is φ = 1826422400.

The previous prime is 2041728943. The next prime is 2041728979. The reversal of 2041728953 is 3598271402.

It is not a de Polignac number, because 2041728953 - 2⁴ = 2041728937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2041728953.

It is not an unprimeable number, because it can be changed into a prime (2041728943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2317073 + ... + 2317953.

It is an arithmetic number, because the mean of its divisors is an integer number (95017860).

Almost surely, 2^2041728953 is an apocalyptic number.

It is an amenable number.

2041728953 is a deficient number, since it is larger than the sum of its proper divisors (238699687).

2041728953 is a wasteful number, since it uses less digits than its factorization.

2041728953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 2041728953 is about 45185.4949403014. The cubic root of 2041728953 is about 1268.6233357886.

The spelling of 2041728953 in words is "two billion, forty-one million, seven hundred twenty-eight thousand, nine hundred fifty-three".