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2042240257 is a prime number
BaseRepresentation
bin111100110111010…
…0001110100000001
312021022211112222001
41321232201310001
513140303142012
6534352144001
7101415520141
oct17156416401
95238745861
102042240257
11958878372
1248bb38001
132671467b5
14155332921
15be458357
hex79ba1d01

2042240257 has 2 divisors, whose sum is σ = 2042240258. Its totient is φ = 2042240256.

The previous prime is 2042240183. The next prime is 2042240293. The reversal of 2042240257 is 7520422402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1249198336 + 793041921 = 35344^2 + 28161^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042240257 - 223 = 2033851649 is a prime.

It is a super-2 number, since 2×20422402572 = 8341490534622852098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2042240657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1021120128 + 1021120129.

It is an arithmetic number, because the mean of its divisors is an integer number (1021120129).

Almost surely, 22042240257 is an apocalyptic number.

It is an amenable number.

2042240257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042240257 is an equidigital number, since it uses as much as digits as its factorization.

2042240257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 2042240257 is about 45191.1524194726. The cubic root of 2042240257 is about 1268.7292261169.

Adding to 2042240257 its reverse (7520422402), we get a palindrome (9562662659).

The spelling of 2042240257 in words is "two billion, forty-two million, two hundred forty thousand, two hundred fifty-seven".