2055724821 has 18 divisors (see below), whose sum is σ = 2981574050. Its totient is φ = 1364867136.

The previous prime is 2055724777. The next prime is 2055724823. The reversal of 2055724821 is 1284275502.

It is a happy number.

2055724821 is a `hidden beast` number, since 2 + 0 + 5 + 572 + 4 + 82 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1353209796 + 702515025 = 36786^2 + 26505^2 .

It is not a de Polignac number, because 2055724821 - 2⁶ = 2055724757 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055724823) 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 17 ways as a sum of consecutive naturals, for example, 2540665 + ... + 2541473.

Almost surely, 2^2055724821 is an apocalyptic number.

It is an amenable number.

2055724821 is a deficient number, since it is larger than the sum of its proper divisors (925849229).

2055724821 is an frugal number, since it uses more digits than its factorization.

2055724821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2055724821 is about 45340.1016871378. The cubic root of 2055724821 is about 1271.5155035233.

The spelling of 2055724821 in words is "two billion, fifty-five million, seven hundred twenty-four thousand, eight hundred twenty-one".