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2400540001 is a prime number
BaseRepresentation
bin1000111100010101…
…0101010101100001
320012022001001210221
42033011111111201
514404014240001
61034111523041
7113326152616
oct21705252541
96168031727
102400540001
111022051262
1256bb29481
132c3447692
1418ab6050d
15e0b311a1
hex8f155561

2400540001 has 2 divisors, whose sum is σ = 2400540002. Its totient is φ = 2400540000.

The previous prime is 2400539987. The next prime is 2400540013. The reversal of 2400540001 is 1000450042.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1453439376 + 947100625 = 38124^2 + 30775^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400540001 - 215 = 2400507233 is a prime.

It is not a weakly prime, because it can be changed into another prime (2400540031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200270000 + 1200270001.

It is an arithmetic number, because the mean of its divisors is an integer number (1200270001).

Almost surely, 22400540001 is an apocalyptic number.

It is an amenable number.

2400540001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400540001 is an equidigital number, since it uses as much as digits as its factorization.

2400540001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2400540001 is about 48995.3059078112. The cubic root of 2400540001 is about 1338.9663077626.

Adding to 2400540001 its reverse (1000450042), we get a palindrome (3400990043).

The spelling of 2400540001 in words is "two billion, four hundred million, five hundred forty thousand, one".