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2820624041 is a prime number
BaseRepresentation
bin1010100000011111…
…0100111010101001
321021120111112210002
42220013310322221
521234034432131
61143515432345
7126616623464
oct25007647251
97246445702
102820624041
111218194654
126687556b5
1335c49b711
141ca8722db
151179606cb
hexa81f4ea9

2820624041 has 2 divisors, whose sum is σ = 2820624042. Its totient is φ = 2820624040.

The previous prime is 2820624017. The next prime is 2820624073. The reversal of 2820624041 is 1404260282.

2820624041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2363904400 + 456719641 = 48620^2 + 21371^2 .

It is a cyclic number.

It is not a de Polignac number, because 2820624041 - 26 = 2820623977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2820623995 and 2820624013.

It is not a weakly prime, because it can be changed into another prime (2820624341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1410312020 + 1410312021.

It is an arithmetic number, because the mean of its divisors is an integer number (1410312021).

Almost surely, 22820624041 is an apocalyptic number.

It is an amenable number.

2820624041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2820624041 is an equidigital number, since it uses as much as digits as its factorization.

2820624041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 2820624041 is about 53109.5475503228. The cubic root of 2820624041 is about 1412.9118506235.

The spelling of 2820624041 in words is "two billion, eight hundred twenty million, six hundred twenty-four thousand, forty-one".