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2400021409 is a prime number
BaseRepresentation
bin1000111100001101…
…0110101110100001
320012021001201102211
42033003112232201
514403401141114
61034052442121
7113321562652
oct21703265641
96167051384
102400021409
111021827675
1256b919341
132c32c5616
1418aa67529
15e0a7c6c4
hex8f0d6ba1

2400021409 has 2 divisors, whose sum is σ = 2400021410. Its totient is φ = 2400021408.

The previous prime is 2400021397. The next prime is 2400021473. The reversal of 2400021409 is 9041200042.

2400021409 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., 1451381409 + 948640000 = 38097^2 + 30800^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400021409 - 29 = 2400020897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2400021409.

It is not a weakly prime, because it can be changed into another prime (2400024409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200010704 + 1200010705.

It is an arithmetic number, because the mean of its divisors is an integer number (1200010705).

Almost surely, 22400021409 is an apocalyptic number.

It is an amenable number.

2400021409 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400021409 is an equidigital number, since it uses as much as digits as its factorization.

2400021409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2400021409 is about 48990.0133598675. The cubic root of 2400021409 is about 1338.8698812331.

The spelling of 2400021409 in words is "two billion, four hundred million, twenty-one thousand, four hundred nine".