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2400086021 is a prime number
BaseRepresentation
bin1000111100001110…
…0110100000000101
320012021012000001212
42033003212200011
514403410223041
61034054101205
7113322252224
oct21703464005
96167160055
102400086021
111021871173
1256b94a805
132c3318b58
1418aa82cbb
15e0a918eb
hex8f0e6805

2400086021 has 2 divisors, whose sum is σ = 2400086022. Its totient is φ = 2400086020.

The previous prime is 2400086009. The next prime is 2400086033. The reversal of 2400086021 is 1206800042.

It is a balanced prime because it is at equal distance from previous prime (2400086009) and next prime (2400086033).

It can be written as a sum of positive squares in only one way, i.e., 1275489796 + 1124596225 = 35714^2 + 33535^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400086021 - 222 = 2395891717 is a prime.

It is a super-2 number, since 2×24000860212 = 11520825816399224882, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2400086071) 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, 1200043010 + 1200043011.

It is an arithmetic number, because the mean of its divisors is an integer number (1200043011).

Almost surely, 22400086021 is an apocalyptic number.

It is an amenable number.

2400086021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400086021 is an equidigital number, since it uses as much as digits as its factorization.

2400086021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2400086021 is about 48990.6727959517. The cubic root of 2400086021 is about 1338.8818958876.

Adding to 2400086021 its reverse (1206800042), we get a palindrome (3606886063).

The spelling of 2400086021 in words is "two billion, four hundred million, eighty-six thousand, twenty-one".