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2400241589 is a prime number
BaseRepresentation
bin1000111100010000…
…1100011110110101
320012021110220110122
42033010030132311
514403430212324
61034101301325
7113323500614
oct21704143665
96167426418
102400241589
111021968039
1256ba04845
132c33718c5
1418aac387b
15e0ac2a5e
hex8f10c7b5

2400241589 has 2 divisors, whose sum is σ = 2400241590. Its totient is φ = 2400241588.

The previous prime is 2400241573. The next prime is 2400241601. The reversal of 2400241589 is 9851420042.

2400241589 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1826878564 + 573363025 = 42742^2 + 23945^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400241589 - 24 = 2400241573 is a prime.

It is a super-2 number, since 2×24002415892 = 11522319371130489842, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2400241189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200120794 + 1200120795.

It is an arithmetic number, because the mean of its divisors is an integer number (1200120795).

Almost surely, 22400241589 is an apocalyptic number.

It is an amenable number.

2400241589 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400241589 is an equidigital number, since it uses as much as digits as its factorization.

2400241589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 2400241589 is about 48992.2605010220. The cubic root of 2400241589 is about 1338.9108230006.

The spelling of 2400241589 in words is "two billion, four hundred million, two hundred forty-one thousand, five hundred eighty-nine".