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2400204361 is a prime number
BaseRepresentation
bin1000111100010000…
…0011011001001001
320012021102000101211
42033010003121021
514403423014421
61034100413121
7113323254232
oct21704033111
96167360354
102400204361
111021942075
1256b9a71a1
132c335a989
1418aab4089
15e0ab69e1
hex8f103649

2400204361 has 2 divisors, whose sum is σ = 2400204362. Its totient is φ = 2400204360.

The previous prime is 2400204349. The next prime is 2400204371. The reversal of 2400204361 is 1634020042.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2194454025 + 205750336 = 46845^2 + 14344^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400204361 - 221 = 2398107209 is a prime.

It is not a weakly prime, because it can be changed into another prime (2400204371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200102180 + 1200102181.

It is an arithmetic number, because the mean of its divisors is an integer number (1200102181).

Almost surely, 22400204361 is an apocalyptic number.

It is an amenable number.

2400204361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400204361 is an equidigital number, since it uses as much as digits as its factorization.

2400204361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2400204361 is about 48991.8805619870. The cubic root of 2400204361 is about 1338.9039007489.

The spelling of 2400204361 in words is "two billion, four hundred million, two hundred four thousand, three hundred sixty-one".