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2667840001 is a prime number
BaseRepresentation
bin1001111100000100…
…0000001000000001
320212221000022110221
42133001000020001
520430431340001
61120421023041
7123053160121
oct23701001001
96787008427
102667840001
111149a20752
12625554a81
13336936568
141b4460c81
151093311a1
hex9f040201

2667840001 has 2 divisors, whose sum is σ = 2667840002. Its totient is φ = 2667840000.

The previous prime is 2667839963. The next prime is 2667840011. The reversal of 2667840001 is 1000487662.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2660083776 + 7756225 = 51576^2 + 2785^2 .

It is a cyclic number.

It is not a de Polignac number, because 2667840001 - 27 = 2667839873 is a prime.

It is not a weakly prime, because it can be changed into another prime (2667840011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1333920000 + 1333920001.

It is an arithmetic number, because the mean of its divisors is an integer number (1333920001).

Almost surely, 22667840001 is an apocalyptic number.

It is an amenable number.

2667840001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2667840001 is an equidigital number, since it uses as much as digits as its factorization.

2667840001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 2667840001 is about 51651.1374608537. The cubic root of 2667840001 is about 1386.9259050257.

The spelling of 2667840001 in words is "two billion, six hundred sixty-seven million, eight hundred forty thousand, one".